What university do you want to go to??
There's a separate recruiting and funding system if you're interested in becoming a doctor.
http://www.goarmy.com/amedd/hpsp.jsp
http://www.goarmy.com/amedd/education.jsp
Be aware that military doctors are sent to and serve in dangerous areas. Sure, they're not manning machine guns, but they can still get caught in indirect fire. And it's probably the toughest place you can be a doctor.
The Army will absolutely pay for your education. But you need to plan ahead and choose a specific path. A lot of people just sign up for the Army with vague promises of getting a college degree, but they never do anything to get the ball rolling, so it doesn't work out for them.
There are many options. One, join the Reserves or Guard and then go to college full time. Tuition assistance is good, but it caps out at $4500 a year - so it will only work if your state has pretty cheap public universities.
Another, join ROTC and compete for a scholarship. That will pay for at least your last two years of college. And you'll come in as an officer. Not all universities have ROTC. So you need to start looking around for them right now, and those need to be the schools you apply for. I believe you would apply for ROTC at the same time you applied for getting into the university, but each school's ROTC program has its own website.
A third option, Student Loan Repayment. If you can finance your education through scholarships and FEDERAL student loans, the Army will repay those Federal Student Loans for three years of enlisted service. Up to $65,000. The Navy will do the same. You will be enlisted, not an officer, but you can apply to become an officer once your three year obligation is up. I had my entire undergrad education paid for by the U.S. Army. I came in with a degree, got the rank of E-4, and all my loans were paid off at my three year mark. Pretty good deal.
The Navy also has a Bachelor's Degree Completion Program. You apply your Sophomore year of college, and if you're accepted they will PAY for the rest of your tuition, and give you a decent living stipend while you are at it. You'd come in as an officer. Not sure what the requirements are, but if living in a little compartment on a ship for four or six years sounds bearable to you, look into it.
So, do some research, before you set foot in a recruiter's office. You are smart enough to do that. Once you've settled on an option or two you like, then you can go see a recruiter. You won't be talking to a recruiter for ROTC, though, like I said, you'd be applying directly to the program at a specific college.
Good luck!