Pretty much the maximum benefits available, with the probable, but notable _exception_ of the educational GI Bill, even if paid for:-


Under Honorable Conditions (General) Discharge

This is separation from the Air Force with honor, but to a lesser degree than the honorable discharge. This discharge is given when normally faithful service is marred by negative aspects of a person's duty performance or personal conduct. Most veterans benefits are given to an eligible person with an under honorable conditions (general) discharge. (The MGIB is a notable exception.) 


[MGIB = Montgomery GI Bill]
http://www.keesler.af.mil/ja/Discharg.htm



 How do Veterans Qualify? 
Chapter 30 (New GI Bill) 

Veterans who enlisted or entered active duty for the first time since July 1, 1985 are eligible for this program if they:  

served on active duty for a minimum of two years 
earned a high school diploma or its equivalent, either prior to or during the qualifying enlistment 
possess an honorable discharge 
have had $100 per month deducted from pay for 12 months while on duty 
Chapter 34/30 (GI Rollover)  
enlisted on active duty prior to January 1, 1977 
served on active dutry from October 19, 1985 without a break of 90 days or more in service 
served on active duty at least three continuous years beginning July 1, 1985 or later 
if the veteran has been discharged, an honorable discharge is required for these benefits.  A general discharge is not sufficient. 
You may still be eligible even if you do not meet the service requirements listed above.  Contact the coordinator of the Veterans Assistance Office. 

http://www.sinclair.edu/departments/csdva/VA/qualify.htm