The answer to your question is best answered by copy we found on myFWC.com - the official site of the (Great) Florida Fish and Wildlife state organization. We sure wish the state would provide budgets so that FWC could have more officers on the water, but that aside, the incredible work they do is well appreciated by TheOnlineFisherman. We've had long-standing (and good) relations with the law enforcement and conservation professionals that can be found throughout the organization.
For the entire Grouper regulations page, go here. It includes all the grouper, not just the Gag.
Gag grouper recreational harvest will close in state waters off the coasts of Franklin, Wakulla, Jefferson and Taylor counties July 1, with the last day of harvest June 30. This area will reopen Sept. 1 through Dec. 31.
The four-county region includes all waters of Apalachicola Bay and Indian Pass, including those in Gulf County, and all waters of the Steinhatchee River, including those in Dixie County.
The gag grouper recreational harvest season in Gulf of Mexico state waters, not including Franklin, Jefferson, Wakulla and Taylor counties, opened June 1 and will remain open through Dec. 31, closing Jan. 1, 2020. Monroe County follows the Atlantic season for gag grouper and is currently open.
Captain David M Rieumont
You can check out Captain David himself from his incredible and very popular Patriotic Angler podcasts. They cover every bit of fishing you can imagine, and there are new ones being created constantly. David and his team remain one of best resources any fishing community has anywhere in the country.