I went to GU for grad school and lived in Spokane for about three years just before that. I took the LSAT in the LS building, and it is spectacular! It's kind of new-made-to-look-old inside with an amazing courtroom. Plenty of parking right outside, as it's set apart from the rest of the campus somewhat.
The nice places to live in the city are not next to the campus, however. I knew a lot of people who lived in small apartments downtown for pretty cheap, but they were kinda shabby. I lived about 15 minutes away, toward the airport, in these garden apartments that were right on Indian Canyon Golf Course. Another nice area to look at is the south hill. There are plenty of very nice apartment communities up there within about 15 minutes of campus. Rent for a 1 bed/1 bath will run about $600-$700/mo. for any of the nicer places. Unfortunately, if you want to live within walking distance to campus, you are limited to either $300,000 condos on the river, or a crappy house for rent just north of campus. The area north of campus is safe, but not all that pretty to look at.
Another option a lot of people chose is on North Nevada St. If you drive about 7 miles north of campus on Hamilton, it turns into Nevada, and there are probably 10 HUGE, multi-building apartment communities lining the street. Rent is about the same, but it's really conveneient to live there since there are so many apartments that many of the essentials (groceries, gas stations, etc.) are right there. Plus, it's one road all the way down to the LS.
I hope this helped a little, take it easy.