Fietsbob's idea for checking to see what the school has is excellent. You should also check out used bikes at local shops. IIRC, the biggest hill in Gainesville is about 2' high so a single speed would likely be OK, though having 3, 7 or 8 wouldn't be a bad idea. If you'll be in shorts all the time and don't mind getting wet from tire spray when it rains then a fixie with a front brake wouldn't be a bad idea, though the one you picked seems a bit overpriced.
If you'll be wearing long pants or don't want a streak up your back when it rains or need to carry more than you can sling over your shoulder then you might want to look for something with a chainguard and fenders. If you get more than a single speed you may want to go with an internal geared hub unless you enjoy working on stuff.
BTW, what are you majoring in?