Open Carry of weapons and possession of concealed weapons is a big deal in the news lately with different states having different laws on this topic. However in Florida you cannot be possession of a concealed weapon without a permit.
Despite what you may think or hear, it's not very easy to carry a gun legally in the state of Florida. For example, if you have history of stalking or domestic abuse, it is unlikely that you will be permitted to carry a gun. While the state of FL respects and even embraces "open carry", if you illegally obtain and carry a firearm you will suffer some serious legal consequences.