I'm not sure if it's matches "single payer".
It has mandatory insurance. And you cannot choose most of the things that what you can get covered or not.
I got a "government insurance", which is the most expensive, but also the one with the best cover. There is "private insurances" with cheaper premiums and less cover that are attractive to young people, but it's kind of hard to later in life switch back to the government one.
Most countries in EU have kind of this mixed healthcare, with private, and public ones with the only goal to make sure the private offer competitive enough services... Same thing with hospitals, there is public hospitals, so private ones don't jack up the prices to crazy values...