This was taken from the group 'Gun Owners Of America'
According to the law, as long as you have a permit from a state that does a background check in order to own a firearm (such as New York, Utah and Florida) you will be exempt from this law as long as you obey all other state and federal laws.
THE "GUN OWNER REGISTRATION EXEMPTION:" The "gun free zones" law exempts CCW (Carry Concealed Weapon) holders who live in a state that requires a background check before the issuing of a permit. (This means that CCW holders that live in states like Alabama are not exempted under this provision because background checks are not mandated by state law.) What this so-called exemption does is force a citizen to register with the authorities as a gun owner before he can carry a loaded self-defense weapon in his or her car.
While many gun owners have made the choice to register themselves in order to carry concealed, many have decided to keep their names off of any government list. (In fact, the recent abuses in states like Virginia and Pennsylvania -- where newspapers are printing the names of CCW holders -- show how easily this registration information can be abused.) Before this "gun free zones" law, motorists in many states could legally transport a loaded firearm for self-defense, without getting a CCW permit.
For example, Vermont allows any citizen to carry a concealed firearm without a permit. (Vermont law only prohibits the carrying of a concealed firearm with the purpose of committing a crime.) Thus, citizens in Vermont can carry legally without jumping through any government-ordained "hoops" -- there is no registration, license fees or taxes. But now under the federal gun free zones provision, law-abiding motorists from Vermont and other states will have to beware. Those who could previously transport a loaded firearm will be stripped of their right to carry a self-defense firearm within 1,000 feet of a school (unless they qualify under another exemption). Most states will also allow you to carry legally through a school zone as long as the firearm is unloaded and in some cases locked in a a lock box. Many states consider unloaded as a firearm that needs two or more steps before firing. So a firearm that has the safety on with no round in the chamber is considered unloaded.