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Gwyneth Paltrow now has the legal right to put her child in harm's way on a Vespa ... because she just got her motorcycle license ... TMZ has learned.

Our motor vehicle spies tell us ... Gwyn went to the DMV in Santa Monica this morning and tooled around the office on her infamous Vespa as the DMV employee watched ... and she passed! She also passed the written test, so G.P. now holds a motorcycle license.

Here's what Gwyneth CAN'T do ... what she did last week, when she pulled away from the curb with Apple riding bitch, smack in front of a school bus that fortunately came to a screeching halt, averting disaster by feet.

Gwyn got in and out fast. BTW ... she also renewed her regular license and did a TAKE 2 with her DL pic ... because she didn't like the first one.

Hold on tight, Apple, because Mommy's coming home.

Hours after "officially" announcing his split from Miley Cyrus, Liam Hemsworth hit the town with ANOTHER woman last night -- his mother.

Liam, along with breeder of blue-eyed, Australian demigods Leonie Hemsworth, was spotted leaving the famous Chateau Marmont on the Sunset Strip together.

Earlier in the day, reps for Miley and Liam announced their engagement is off ... but offered few details as to what caused the split.

Liam didn't seem too crushed over the breakup this weekend, when he was spittin' game to Mexican singer/actress/dimepiece Eiza González in a Vegas nightclub.

As for Liam's mom -- think she's upset about the split from Miley? Or relieved?

Discuss ...

Having already beaten down the NY Jets (and with the crappy Bucs next on the schedule) a carefree Tom Brady spent his Sunday afternoon playing with his kid ... INSTEAD OF WATCHING FOOTBALL.

Can't really hate on the guy for that ... it's actually pretty sweet.

Now, here's that scene from "Field of Dreams" ...

Call him Dennis Rodman, 'cause Liam Hemsworth was rebounding like a CHAMP in Vegas last night ... spittin' some serious game to a smokin' hot chick -- and from the looks of things, it worked.

Just one day before reps "officially" announced the demise of his engagement to Miley Cyrus, Liam and 5 of his friends hit up XS Nightclub ... where he ran into 23-year-old Eiza González.

FYI -- Eiza happens to be a singer/actress (seems like someone's got a type).

They drank ... he smoked ... they flirted ... they were thisclose ... and people in the club said they never left each other's side before leaving the joint together at 2 am.

Muy bien.

Before the NFL season began, NY Giants wide receiver Victor Cruz promised ... if he got a new contract, he would get a new Ferrari.

It appears Victor is a man of his word.

Cruz was spotted pulling into MetLife Stadium in Jersey yesterday in what appears to be a Ferrari California convertible ... which reportedly starts around $200k.

Of course, Cruz signed a HUGE contract over the summer -- 5-year extension worth up to $43 MILLION. Before that, he was making close to the league minimum.

The Giants lost to the Broncos in the Manning Bowl yesterday ... but we're guessing Victor wasn't too bummed out on the drive home.

Justin Bieber just high tailed it to Las Vegas with his crew to walk Floyd Mayweather into the ring tonight ... and they're clearly expecting "Money" to kick ass.

Justin boarded with Lil Twist, Lil Za and a few others Saturday for Floyd's fight against Saul "Canello" Alvarez -- and most of his entourage were proudly sporting Mayweather's Money Team shirts.

Worth noting ... no visible puffs of smoke as they boarded the plane ... this time.

8:20 PM PT -- Bieber is officially backstage with the champ.

Paula Deen was a big butterball of emotion today during her first public appearance since settling the racial discrimination lawsuit that destroyed her career ... and we've got the pics.

Paula appeared in Houston, Texas today for the Metro Cooking and Entertainment Show to mark her return ... and got choked up after receiving a standing ovation when she hit the stage.

The 66-year old chef told the crowd she had been wanting her return to take place in Texas all along ... and was just shedding tears of joy.

With 46 days 'til the NBA's opening day, Kevin Durant is in hardcore relax-mode -- with hookah pipes and Segway scooters.

The 24-year-old Oklahoma City Thunder superstar was rollin' around Barcelona yesterday on the two-wheeled machine (sportin' a helmet for safety) ... before chillin' out at a smoke shop.

Durant seems to be a big fan of hookah shops -- he's been spotted puffin' away all over the world in places like Chicago, Minnesota and even Hong Kong.

Kevin's penchant for puffin' might also explain why he was chillin' with Justin Bieber recently -- those guys might have more in common than we thought.

Kim Kardashian and Kanye West's $11 million love shack is still under construction -- it has been for months -- and Thursday they put some pressure on the contractors ... by personally inspecting the quality of their work.

K&K dodged piles of scrap lumber and plywood as they did a walking tour of the 10,000-square-foot Italian-style villa in Bel Air, CA ... making sure the builders didn't leave out any details... like the bowling alley. Or the hair salon. Or the gym. Or the baby's nursery.

Hopefully the walls of the house are really, really thick ... 'cuz Kanye likes to yell. And everybody knows ... if the baby don't sleep ... nobody sleeps.

Ominous sign for Lamar Odom's battle with drug addiction -- he scooped up a household cleaning product that doubles as a vital part of homemade crack pipes ... and TMZ has the photos.

Lamar and his driver walked out of a San Fernando Valley pharmacy on Tuesday with a bag full of items ... most notably ... Chore Boy copper scrubbing pads.

How commonly are the pads used for drug abuse? Type it into Google ... and "crack" is the first auto-fill topic besides the product name. Also, Forbes magazine wrote an article about its use as a filter in makeshift crack pipes.

Oh, and Urban Dictionary defines it like this: "Brand name of scouring pad used also by people smoking crack to retain some of the cocaine vapors."

As TMZ first told you, multiple people in Lamar's life -- like his estranged wife -- are saying he desperately needs to get in to rehab for many addictions, especially crack.

So, it's possible the NBA star had some kitchen cleaning to do, but we gotta ask ...

Tyson Beckford IS TERRIBLY ILL ... succumbing to a powerful strain of the Justin Bieber virus that's been wreaking havoc on the nation.

Beckford was photographed out in NYC Tuesday, showing the telltale symptom of the gruesome disease ... a shirtless, hairless torso.

Beckford kept a smile on his face despite his condition, but if Bieber's any indication, the prognosis isn't good. It's not good at all.

Tyson Beckford ... we hardly knew ye.

It was only 71 degrees on Staten Island yesterday, but Ashley Greene made it seem a whole lot hotter ... flashing some side boob in a teeny yellow bikini during a movie shoot in NY.

A pink and white beach blanket just barely managed to conceal the goods ... as Ashley filmed a scene for "Staten Island Summer" at the Great Kills Swim Club ... where some of the locals were used as extras.

The movie's about a couple of dudes who take jobs as lifeguards while trying to figure out what to do with their lives.

Why would you ever do anything else?

Gwyneth Paltrow might be the worst driver in all of Los Angeles (and that's saying a lot) 'cause she CUT OFF A SCHOOL BUS ON HER VESPA WITH HER KID ON THE BACKSEAT ... and it was all caught on tape.

Paltrow and husband Chris Martin were picking up their kids from an L.A. school last week on their respective Vespas ... when Paltrow (with one of her young kids on the back of her scooter) darted out into traffic ... right in front of an oncoming school bus.

The bus driver had to slam on the brakes to stop from plowing into the actress ... and GP scooted away as if she didn't just put a bunch of people's lives in danger.

FYI -- school buses are giant and yellow and generally pretty hard to miss ... so we can't really understand why Gwyneth didn't just wait the 2 minutes for traffic to slow down before leaving the school.

We called Gwyneth for comment -- so far, no word back.

A nocturnal Lamar Odom wandered the streets of Downtown L.A. just after midnight Monday ... returning home at 6:30 AM.

According to the photo agency that took the pictures, Odom hit up Wokano sushi restaurant shortly after midnight. He stayed for only 5 minutes, according to the agency, and then meandered to a convenience store where he picked up a banana.

Odom returned to his downtown apartment building -- located about 1 mile from Skid Row -- then reemerged at 3:15AM, when he jumped into someone's car.

Lady Gaga did her best Rorschach yesterday while strolling around NYC for Fashion Week in some weird face mask.

The 27-year old singer hit the streets of Greenwich Village Saturday in what looked like chic hospital scrubs, the mask and freakishly tall high heels.

It's unclear who she's holding hands with in the pic ... but he clearly has no shame walking around with someone wearing that.