Hello everyone.
So I got accepted in the Swiss school and successfully went through all the embassy and visa hustle. What I got is a visa type D, which has a remark that it's only for Switzerland and it is valid for (around 3 months)? I got worried about such a short time given to me and asked the school if the visa looks fine. They said that it looks perfectly normal.
If I understand correctly , as I intent to study for 2 years,
I will get some other document when I arrive to Switzerland?
Some kind of a permit?
What will be my rights with this new documents (travel to other EU states, phone contract?)

I would be very glad if you could help me with these questions.

You will get a residence permit when you register at your local town hall. Your other questions answered here.