Georgetown's big selling point is its holistic approach to healing. There's a strong emphasis on faith (any faith of course, but GTown is a Jesuit institution) in medicine. Also, they're one of the few schools that tell you at the interview that you can get in. Other schools tell you you'd be lucky if they deemed you worthy, but gtown says if you like us and show us that you do (by writing essays/letters) you can get in. Also, they have a special session during their interview day to discuss their new owner Medstar and the school's relationship w/this co.
I personally didn't find anything unique at GW except that it was really expensive and they don't give good aid. Depending on which schools you're applying to, this may not be unique.