21 year old girl, looking for accommodation in Zürich

Hello, I'm a law student from Ghent who will be studying in Zürich the upcoming fall semester. I'm sportive and like to go out with friends. I'm looking for a place to stay, an apartment, studio, dorm.. in the city centre and close to the university. A roommate would be nice, but isn't necessary. I'm eager to get to know new people and look forward to this new experience. If you want to get some more information, or have some tips and advice for me to find a good accommodation, or even have a free room, feel free to contact me.