It would help to know what your shooting interests are. Handguns, rifles, shotguns? Depending on which you prefer the first thing I'd do is make contact with any established local groups like IDPA, IPSC, NSSF, CMP (especially good) etc. A lot of the competitive shooting sports like IDPA will have developmental classes where you can learn the basics of competition.
You can also check the NRA's website for a list of certified instructors and classes in your area. Also, don't be afraid to ask around at your local range or gunstore. You'll find lots of folks willing to lend their time and expertise to help a new shooter along. By all means, if you can afford it, seek out professional instruction. There's nothing like hands on training with a competent coach/instructor to help you improve. Welcome to the sport and lotsa luck!
Oops, forgot! You're in Florida. Check into getting a concealed carry permit.