All Florida State parks close at Dusk to day use visitors.
http://www.floridastateparks.org/
Paynes Prairie does however have camping...
http://www.floridastateparks.org/paynesprairie/default.cfm
To answer your question if you have a flash light the gators (as well as other creatures) eyes will show up like that.
I have been canoeing down the Rainbow River at night and have seen the gator eyes.
Its a little freaky.
http://www.floridastateparks.org/
Paynes Prairie does however have camping...
http://www.floridastateparks.org/paynesprairie/default.cfm
To answer your question if you have a flash light the gators (as well as other creatures) eyes will show up like that.
I have been canoeing down the Rainbow River at night and have seen the gator eyes.
Its a little freaky.