I'm guessing this is bill submitted to make others seem reasonable, or placate her constituents. In any case the Floridians here might want to send a note to their Senators to oppose it.
http://www.flsenate.gov/Session/Bill/2013/1678
ETA: Sister bill in the house - http://www.flsenate.gov/Session/Bill/2013/1229
http://www.flsenate.gov/Session/Bill/2013/1678
SB 1678: Firearms
GENERAL BILL by Gibson
Firearms; Requiring a 3-day waiting period for the sale of any firearm; prohibiting the sale of ammunition to a person who has not completed an anger-management program; requiring certification of completion of an anger-management program to be renewed every 10 years; providing criminal penalties, etc.
Last Action: 03/02/2013 Filed
Effective Date: July 1, 2013
ETA: Sister bill in the house - http://www.flsenate.gov/Session/Bill/2013/1229