Can confirm for Switzerland. It'll probably be some crappy tea bag quality, like lipton yellow or Twinings. They'll also probably charge you 4-6 CHF (about the same in USD) for it.
Same, although it'll probably be served in a little teacup (about 2 cup's worth) with a generic teabag in it. There may be a small pot of hot water on the side.
In the better restaurants and cafes they will bring you a cup of boiled water and a box of different kinds of tea bags from which you can pick one. (The Netherlands)