Mid-summer is prime apartment hunting season in Ocala. June and July will both have the most apartments on the open market, and if you look throughout those two months you should be able to find something. You should try to find a place within those two months, as the availability will start to reduce as fall approaches.
Don't act like you've already got the apartment when you show up to view a suite. You need to make a good impression on the landlord, and taking for granted that you will get approved isn't likely to sit well with most. Instead, ask good questions, and find out what requirements they need provided in order to consider someone as a potential renter.
Ocala is served by the SunTran bus system. The College of Central Florida operates a shuttle system that gets students to and from the College, including transportation to the most common off-campus student housing facilities. There is also a shuttle that can get students into Orlando on the weekends.
Silver Springs is one of the most well-known tourist attractions in this part of Florida. The tours on the glass-bottomed boats are not to be missed. The importance of the horse industry means there are many places where you can take trail rides or learn to ride if you've never been on a horse before. Local bars include O'Malley's Alley and the Wing House.