It does depend on where you are.
The computers in libraries and educational institutions in Denmark are not generally restricted in what a user can do with the machine as such, but in what can be done with the programs installed, or to the programs on the machine.
Use of a linux live-cd might arouse curiosity if it were noticed, but doubtfully restrictions. The resources provided belong to the Danish commonweal and are as part of a basic understanding of that commonweal for the free use of its members. That is free as in speech, not free as in beer. It is a social contract; we invest, we enjoy. It's a way to make an us that is more than an I written many times. In addition, in that spirit, all libraries, both public and academic are open to all.
This Forum is in fact quite Danish.