Speaking directly from experience, that is all i had to do. I simply showed a copy of my current orders and my drivers license (from my state of record) and was issued a GA permit (GFL). My wife on the other hand (just a dependent) had to get a GA driver license before her GFL. I am not sure of the state where you are but I know the states I have been to and cared about that was the way it was. If unsure a phone call to the Sherrif's office, court house or DMV (depending on your state) is all it should take to know for sure.
"The purpose of war is not to die for your country. The purpose of war is to ensure that the other guy dies for his country." - General Patton