I completed my undergraduate degree at the University of Ottawa - I grew up in the city. It's one of those places that you can't really fall in love with unless you've grown up there and it's kind of boring, but that depends where you're from too. U of O is located downtown close to the market and the Rideau Centre so it's quite convenient and the campus, despite having rarely any greenery, isn't bad. It has a lot of students and a major university vibe and there's always something going on (especially with the Telfer School of Management Kids and the Communications Students Association).
In terms of going out, Ottawa's nightlife is meh. I used to venture out to Bank Street to Babylon and Barrymore's. Sometimes for shows, sometimes for Mod Night. There's also Zaphod's (although I heard lately it's been pretty awful), the Manx on Elgin and The Dominion. You should avoid the market clubs at all costs, unless you like guys with spiky hair, white shoes, and too much testosterone.
Centretown is a nice neighbourhood. Ottawa has loads of coffee shops - try Bridgehead, everything they serve is fantastic. Other ones of note: Wellington West Village is really up and coming, lots of theatre, nice shops, walkable (unlike most of Ottawa). Preston (Little Italy) is also great. Sussex Drive is nice for a walk and there's some nice shopping there. Stop by the courtyard and go to my favourite cafe in the entire city "Planet Coffee". It's well known, kind of hidden, nice patio, but the bad part is they have no internet. Go for the vibe not the coffee.
If you're looking for some shopping, there's a few shops down Dalhousie Street. The area is still in the midst of gentrification but you may find some great pieces by some Canadian and other intl designers at Victoire Boutique.
The one great thing about Ottawa is galleries - there are tons of them. The National Art Gallery, Cube Gallery, Gallery 101, SPAO, there are so many out there and sometimes you have to dig to find them but that's part of the fun
Another great thing about Ottawa is food: Le Cordon Bleu school ups the standards of the place, and chefs here are wonderful. I know you're a student but if you'd like to indulge once in awhile, head over to Beckta, Domus, Wellington Gastro Pub, Absinthe Cafe, and Black Cat Bistro. These places are fantastic!
Ottawa has a large population of Lebanese and so the shawarma is considered to be the top in Canada (I can attest to this, I've tried it almost everywhere!). There's one place that you MUST visit. It's known in the city as the best place. It's known across Canada actually, it's called SHAWARMA PALACE, on the corner of Rideau and Chapel. Everything on the menu is awesome and well priced for the amount of food you get.
In the summer, stop at Piccolo Grande in the Market for some gelato.
Make sure to go watch a movie at the Bytowne.
Think that's my list. One thing I loved about growing up in Ottawa is the ability to be bilingual. It is truly the only city in Canada where you'll hear the same amount of English as French.
Ottawa is really a beautiful city scenery wise. It's great for cycling, has tons of parks and greenery and festivals in the summer. But you really have to go out and discover for yourself.
Hope that helps!!