I agree with Lana but on the other hand do not forget that populataion of Cyprus is very small. Imagine that let's say just couple of millions (which is less than half of 1% of 450 mil. total EU population) of people will move here from other EU countries. I think it might happen in a few decades.
As to the language... Few months ago my wife told me about something she witnessed in one of the department stores in Limassol: one old cypriot lady apparently after failing to communicate with several persons from staff was desperately shouting something like "does anybody in this shop speak greek?" (in greek of course).