It’s weird because Switzerland is one of the most armed countries in Europe, as in they have firearms but barely any shootings of any kind (so you don’t often hear news equivalent to a guy shooting students in a classroom or killing people at a shopping mall over there). Part of it has to do with the draft (most people who purchase firearms have a form of training, as they learnt how to properly handle them during military service).
That’s… Not really true.
The gov’t supplies ammunition, yes. But you can also quite legally buy your own ammunition. And you can take your military rifle to a range to practice.
Of course you can buy your own ammunition. It is not some kind of nonstandard stuff. But you are not allowed to use it for private reasons like hunting or whatever. And yes, you can take it to approved practice. No shooting beer cans in a friends back yard.