Usually you are active duty one year for each year they pay for. I have a 4 year scholarship, so owe 4 active , and (here's the fine print) 4 in reserve.
Please don't just go military for the money. I decided that it is a unique experience that I want to be involved with. The money does make life easier, though. Especially the stipend. Around $1000/ month.
You usually have to do a military match for residency, and I have no idea which specialties are easier than others. I do know that some people choose (and get approval) for special residencies or fellowships outside of the military, though. The VA (my understanding) has nothing to do with the military hospitals. They use us for the active troops, their families, retired (that get benefits) service member and thier dependents.
Search this forum for more info (previous threads), talk to others who have done it, get lots of opinions before you make a decision.
**Keep in mind some scholarships close their application date sooner than others!