From The Truth About Guns:

Coincidentally, both bills grant an exemption to Florida lawmakers and elected officials from the CCW ban. Currently, under Statute 790.06(12)(a)(7), it is illegal for a licensed concealed weapons permit holder to carry at:
7. Any meeting of the governing body of a county, public school district, municipality, or special district.
That’s apparently inconvenient for the lawmakers, therefore something must be done. They wish to amend the law and grant themselves and their minor league municipal political teammates an exemption to the prohibition. The wording of the proposed bills states the following:
7. Any meeting of the governing body of a county, public school district, municipality, or special district, except that nothing in this section precludes an elected member of the governing body of a county, public school district, municipality, or special district licensed under this section from carrying a concealed weapon or firearm to a meeting of the governing body of which he or she is a member;