Yes… sort of. It is legal to possess marijuana in Florida, only if you have a valid prescription. Only a few dispensaries have been approved, so it will be very difficult to buy it. And getting a prescription will not be that easy, as you have to see a doctor for months before it can be prescribed, and even then, insurance will not be covering it. While voters had their say to legalize medical marijuana, the state has not worked out all the details yet. Also, the Federal government still has marijuana as a scheduled controlled substance, so even if Florida might allow it, the Feds do not.
This has no bearing on recreational marijuana. Possession of any amount of marijuana is a criminal offense in Florida, punishable by up to a year in jail, and with a mandatory driver’s license suspension for anyone convicted. Even if you don’t get jail time, you lose your license.