I have a primary care physician who I can book online to see usually within a few days, or if I choose one of the other oncall doctors I can see them same or next day.
I recently had a referral to a specialist for a non-emergency exam that was scheduled out two months. When I've had an emergency I've gone to the hospital and been seen within a few minutes to a couple of hours depending on the issue.
I would say I am fairly satisfied with the access I get, and I'm especially happy that I never have to worry about being denied coverage, or ending up "out of network", or having different levels of coverage depending on my employment.