Driver License
Yes, you can get your DL or renew it once you get married and file all the forms, especially the I-485 form (adjustment of status). When you receive your receipt (I-797 Notice of Action) you go with that to the office and it will be renew it or get new one, but it will be valid only for one year.
All of this applies in the State of Florida for sure, but I don't know if it's in all USA.
Good luck