if you are fishing from the beach, go to a local tackle store and ask for a pompano rig. It’s a leader with a couple hooks and small orange or yellow floats. Dig in the sand where the water touches the beach and you can find dozens of sand fleas. Put those on the hook and cast out and have some fun catching pompano, whiting, etc. You can also cast for snook as others have said. If you use shrimp or greenbacks or white bait you can broaden you list of species to catch. These baits can be bought at the bait shop or you have a cast net you can use that for the greenbacks or whitebait. No need for a big surf rod in the gulf, the waves and current aren’t strong and you don’t need to cast out super far. Just cast in the trough between the sandbar and the beach, get a surf spike for the rod, and sit back in a beach chair and enjoy.
Note that when surf fishing from the beach, sand and salt seems to always find its ways into reels, so I wouldn’t bring your nicest reel. I know plenty of guys who use a Walmart special, and just throw it away once it starts grinding or locks up. Whether a nice reel or a cheap one, be sure to rinse it with fresh water and put a few drops of oil on it after each use.
If you are not fishing from the beach, take the advice mentioned above walking the flats and pitching along the mangroves. I suggest wearing crocs or some other type of water shoe as you don’t want to tear your feet up on oyster beds.
Have fun!