The budget has been signed in Florida and I'm not aware of any actual closures, although there will be some scaling back. Many improvements and maintenance items have been cancelled. Wakulla Springs State park, where Creature of the Black Lagoon and some old Tarzan movies were filmed lost a major restoration project.
The state had a lands purchasing program for land preservation (and possible new parks) that was cut from the budget. This is Florida. Nature (beaches and parks) and Disney are what drive tourism, our major industry.

There was a special irony when the governor was at a state park announcing how he believed parks should be financially self-sustaining (I don't agree but that's another topic), but didn't pay the entrace fee himself.