Start times are staggered, usually a minute between categories. They're usually done pretty well to avoid too much unnecessary overtaking. If you're at the front of one of the later categories, or at the back of an early one expect to do some overtaking/be overtaken.
Remember that many of those categories will likely only have 2-3 people in, it's not going to be 1000 riders going off together.
Laps will vary, generally it's something like:
Elite: 5
Expert/Master: 4
Sport/open/vet/grand vet: 3
Fun: 2
With women usually one less than that.
Course will have a wide start, then into normal singletrack, there will be intermediate bits of fireroad to overtake. If you're behind someone much faster, calling 'on your right/left' is accepted protocol, if someone shouts it to you and it's possible to move over then do so if it's safe/appropriate.
Laps will be about 25-30 minutes for your average racer, top elites will get closer to 20, some people will be much slower.
And have fun.