If you know anyone who owns private property who would let you hunt there, you would be in good shape. Otherwise you will have to hunt public land or join a hunting lease. Since you are new I would not suggest joining a lease, it is very difficult to know if a lease will be good or not and until you have a lot more experience you will probably end up wasting money on poor quality leases.
If you have any relatives or friends who live in another state in a rural area who own land or can get you permission to hunt on some land you may want to try hunting out of state. Florida is one of the toughest deer hunting states.
If you hunt public land here in FL, you are going to want to turn in for quota hunts, look that up on the fwc website under 'Limited entry hunts', unfortunately you just missed the drawing for spring turkey.
Deer season usually begins last weekend in sept. and runs through mid Jan depending on which part of the state you hunt in.
Deer season has an Archery season, then Muzzleloader, then General Gun. So if you hunt with a bow and a gun you have a much longer hunting season.
Turkey season is in April and March.
If I were you I would begin turkey hunting next spring. That would give you plenty of time to attend a hunter safety course, get a shotgun and some other basic gear. I would use that time in the woods in the spring to get used to the woods and start learning how to scout for deer season. Plus turkey hunting is really exciting once you find a good spot.
Check out the local Florida hunting Forum if you haven't already, TONS of info there:
http://www.floridafishandhunt.com/fishi ... /index.php
Feel free to ask any other questions...