First off, this sounds far more than a health paradise than it is in reality.
If you go to a regular doctor, you definitely have to sit in a waiting room - unless you are an emergency. Some weeks ago I injured my ankle and had to sit in there for 3 hours for a total of 10 minutes examination by the doctor...
I don't know about hospitals, never been there. Here in Germany you only go to hospital if you're seriously sick/injured (eg accident or something) and/or if it's in the middle of the night otherwise you go to your doctor.
And there are loads of other problems coming with our health care system, eg it's expensive, sometimes paradoxically inefficient and what not.
That being said, I think it's still a great system that ensures the stability of society and does more good than harm. Well, and I'm born here, so there are probably a lot of things that I take for granted but aren't available in other countries.
Just wanted to point out that this isn't the land of milk and honey... ;)