The application is a simple form, and because it's an "exemption permit" there will be a plod visit. Cost is CHF 180.- or something, and this first one will take about a month. You have to justify it ("Expansion of the collection, namely in the field of British service weapons").
Normal permits cost 50.-, and allow you to buy up to 3 guns at the same time from the same seller. They take about 10-14 days to come through.
Since I have permanent residency, there's a bunch of non-semiauto stuff (that are not foreign service bolt actions) that I can just go and buy with no permit.