"This is not considered a business that I would need to file state taxes (in Florida) correct?"
For the purposes of the State of Florida, it is irrelevant whether the activity is considered a "business" since there is no state individual income tax in Florida (which would include a sole proprietorship).
Unless there is an incorporated entity, neither income taxes nor an income tax return is due. There are, however, various other forms of taxation (see the link below).
http://floridarevenue.com/dor/businesses/
