There are five things you're supposed to do for your wife when you get married:
1. Submit a marriage packet to your command (No documentation is more important because with it she will be officially recognized and receive the benefits of a spouse by the Defense Enrollment Eligibility System (DEERS). These benefits will let her shop at the commissary, receive life insurance benefits, and obtain health care.)
2. Obtain a military ID card for your wife (Obtain from the personnel office... your wife needs this because she will have to show this ID at the commissaries, doctor's office, gym, etc)
3. Put a base decal on her car
4. Enter her into the Tricare system (The military's HMO)
5. Grant her a Power of Attorney (This is standard... it allows her to conduct business on your behalf in your absence, namely during deployments.)
Hope this helps. PM me with any question you may have!
Source: M. Leyva