Pima is so correct. Of the 1300-1400 cadets that enter basic training, about 85 won't make it through to becoming a cadet. (Except this past year, they were a little lenient because of the Swine Flu). Of the remaining; about 950-1000 with make it to graduation day 4 years later. Of those, approximately half will elect and be selected for UPT. (Under-graduate Pilot Training) Not all of them will graduate UPT and become pilots. And most will even have to wait to even start their UPT training, because of the back-log, air force needs, and economics.
At the academy, there is definitely flying opportunities in gliders. And if you already have a PPL and want to spend the money, you can fly on your own. And then there's the occasional "Ride" if you get to visit the "Right" base during the summers. While flying is definitely the stereotype of what an "AIR FORCE" is; it isn't as automatic as a lot of people want to believe. And going to the air force academy is definitely not about becoming a pilot. If pilots was all the air force and academy thought about, it would be so much cheaper to offer it to all the OTS applicants applying to the air force who have already paid for their own college education. The academy is about giving a high level education and training individuals to become commissioned officers in the air force.
But yes, it's possible for "some" flying during the academy. My son, as well as many other cadets, have the opportunity to fly gliders. That isn't too hard to get. But you'll only get like 5-10 flights. "Can't remember". After that, it's pretty difficult for most cadets to any flying at the academy unless they do it on their own.