When is she coming over? Is it for a Summer School (accommodation may be more readily available) or during term time (scarcer then).
Sorry I cannot help with accommodation but Here is a link which may do so.
Best areas will be around the West End (G12 Post Code)by Glasgow University or St Georges Cross (G20). Lots of student accommodation and West end in particular a great social live.
PM me with an E-mail address if you wish and I can send maps etc if need be.