In terms of the healtcare; is it free only for native citizens? What if someone were to move there from another country such as the United States?
It doesn't cover tourists anymore in theory. They'd treat and then bill you but you could probably go home and not pay.
You might have problems getting residence
I don't know how easy it is to do what you describe but some people evidently do it. I imagine if you're an EU citizen you can come right in but if you're non EU you might have some more difficulty.