The official guidance on what is, and what isn't an essential business has been issued by the state. Gun stores aren't mentioned on the list. A lot of businesses aren't mentioned on the list.
By law, gun stores cannot be closed during a state of emergency. It's also good to see that the governor does not feel he has the power to close churches as that gives us an argument that the Second Amendment can't be infringed upon if the First Amendment is being respected (somewhat).
Clayton E. Cramer
Gun Free Zone
The War on Guns
The View From Out West