Gittens made 8 of 12 field goals, including 5 of 5 from 3-point range. Jeremy Senglin had 20 points on 9-of-10 shooting and six assists. Chris Golden added 15 points, including three 3's, and Joel Bolomboy scored 13 while grabbing nine rebounds and blocking two shots.
Bristol, in its first year competing in college basketball, took a 22-14 lead when Brian Mahood hit a 3-pointer with 14:15 left in the first half.
Senglin made back-to-back layups - and converted the second into a three-point play - to ignite a 12-2 run and Weber State (5-6) never trailed again.
The Wildcats closed the first half with an 18-2 run and took a 53-33 lead into halftime.
Weber State shot 70 percent from the field and 71 percent from 3-point range.