Indeed, you can have that. All you need to do is to provide proofs that you has been honorably discharged. You can use Form DD-214 from U.S. Department of Defense.
That's great. Is there any charge or fee to pay if i do this?
Not at all. I you apply and were charged a document fee, then you're entitled to a refund for the fee you paid.
This proof i have to submit, it has something to do with it my discharge date?
Well, yeah. If your discharge happened before January 1, 1950, then you should submit a Honorable Discharge Form WD AGO 53, or WD AGO 55, or WD AGO 53-55, or just an "Enlisted Separation Paper"
Sorry, but did you say before January 1,1950?
That's correct. That applies if you were discharged before that date. In any case, a Certification of Military Service or NA Foro 13038 is valid too.
O.k, i'll keep that in mind. By the way, i heard something about a Enhanced ID?
Do you want to change your standard license while adding your veteran status?