Q1. "Library-less" means "without a library". I think you meant to write "school library" didn't you? If so, a university library is usually a large and often separate building. A school library (in the UK) is usually quite small and within the school itself. Q2: There is a comparison being made. The writer considers a university with a library to be a "proper university" and one without as "not a proper university". In the UK (and probably the US) most university establishments have a good library. There are many places advertising themselves as universities, but they are not considered real universities. Q3: "fund-raising" is to obtain money through different activities. A "brochure" is a document used to advertise something. In the above text, it means that the documents advertising the university will have pictures of the university library if it is a real university. I am sorry if my answer is quite long and difficult to understand. Do ask me if it is not clear.

'Library-less university' The reference is probably to online universities.