No, that is not a law. There is no 2 step or 3 step law. Glove box, center console, snapped in a holster or even a cardboard box with a lid is legal.
790.25
(5) POSSESSION IN PRIVATE CONVEYANCE.—Notwithstanding subsection (2), it is lawful and is not a violation of s. 790.01 for a person 18...