Tom Brady's niece -- a BEAST on the UCLA softball diamond -- just won a huge national award ... and yeah, the Bradys are now officially good at everything!!

If you weren't aware ... Maya Brady -- the daughter of Tom's older sister -- was a coveted softball recruit last year who chose the Bruins over a bunch of other offers.

And, before the season was cut short due to the coronavirus pandemic ... she CRUSHED it in her first collegiate season -- leading the team with 7 home runs and batting an absurd .356!!

Softball America named her its 2020 Freshman Player of the Year this week ... now cementing her as one of the best players on the globe.

Of course, we should've seen this coming ... remember when Tom posted footage of their family dodgeball game back in 2018??

Yeah, she was the one FIRING LASERS AT THE QB LEFT AND RIGHT!!!