used to live there for 3 years. Honestly,a year is more than enough no matter where you're going. If it's your first time going abroad long term, you probably won't get bored. Taipei is huge and it can be tricky to find all the cool spots without some kind of guide showing you around, and even then one person will only show you one aspect of the city they prefer. First thing i'd suggest you is to buy a used bike or peruse the city u-bikes and get to ride around the city which is pretty much made for cyclists.
you got plenty of museums to visit within taipei, and some others across the country ! A lot of foreign student would be eager to visit them too so go ahead. I'm guessing you're probably going to NTU, so if you're living around Gongguan, i suggest you start with CKS memorial, which basically gives you the context around who Chiang Kai shek is (huge circlejerk btw). On the other hand, the national palace museum is a top tier museum.>clubbing
Everyone gets the memo once they're there, but 101 clubs are great. My favorite used to be Wave. Fun fact : a lot of clubs are open bar, so you just pay an entry fee and you can get free booze on the house all night. >bars
Gay bars behind the Red House in Ximen for those interested (this is also where you can find condoms your size), and great bars overall in 101. Most students will just go to a 711, buy some booze and chill not far from it.
Also, try Gongguan's riverside parks, they've got bar stands out in the open, but the whole set up is protected by the giant bridges up there (pic related). It was my favorite place, very comfy, especially during rainy winter days. >>2106452
Honestly, it's "quiet" in the sense that people are doing their own thing, minding their own business, and the majority of taipeiers are just commuters that come from the rest of the island and want nothing to do with the urban life in taipei.