Not a lot of entertainment near UC Davis. Murder Burger is a popular hangout. Sudwerk is a popular though pretentious place to drink. The Mondavi Center is the place to be if you like more lofty entertainment. Mall type shopping is mostly done in Sacramento. For a look at what the area has to offer you might like the website linked below.
We visit a friend in Davis once and it was so boring, great for school. you should go to Sac.