There's lot's of cycling around here, whether you're into road or mountain or both. If you're interested in events, you could check out this calander of races and other rides. http://www.spokanerocketvelo.com/races.html
The page gives a comprehensive look at the formal, organized rides in the area. If you're interested in less formal rides or routes, there are plenty of places to ride. Bring both your mtn bike and road bike.
I will be Spokane the last half of June. I would appreciate any information with respect to local knowledge, local rides, local cycling events.
There is a ton excellent places to ride in and around Spokane. The centennial trail is only one, although very good. There are farm roads to the north and south of Spokane that afford scenic less travelled ways. Some are easy and some are very challenging.