Grumbler, FREE ADMISSION means that you don't pay to go in. Is that what this implies, or rather that you have access to the whole place?

As I said, I have no idea what "this" implies.
I vaguely remember that this *possibly* means some freedom granted to some students for attending lectures and other classes. A very special expression/term know only by students and universities staff.

Yes, my memory doesn't fail me - https://www.google.com/search?q=Свободное+посещение&ie=utf-8&oe=utf-8

Aha. In that case I would say “open attendance” or something like that.

*No, my memory doesn’t fail me.

Thanks.
I think it's worth adding your translation with some explanation.