You're in the right place. Read the stickies.
If you have a CPL it is in fact legal to carry openly in schools, as well as the other gun free zones in the state. This does NOT include federal buildings, (post office), court buildings secured areas of jails and airports and some casinos. If you do not have a CPL you may not even be on the premises of a gun free zone. You must have the gun unloaded in a case designed for a firearm, and in the trunk. You still cant have it in even the parking lot of a gun free zone.