Tom Brady -- Strokes It Lefty ... With MLB Legend

Two things ...

1) Tom Brady took some batting practice off Red Sox legend Pedro Martinez today.

2) He bats lefty?!

The New England Patriots QB was a pretty good baseball player back in the day -- in fact, he was drafted by the Expos in the 18th round of the 1995 MLB Draft (as a catcher, not a pitcher).

But at Fenway Park on Monday, #12 proved he's handy with the wood as well ... from a lefty stance ... even though he throws with his right hand on the football field.