Hello,
Greetings!
Well as you are an International student in Canada and assuming not from visa exempt countries, yes you need to apply for a US visa to enter states. Secondly, I am assuming you are already in Canada and studying already. Ideally, people apply for US visa after completion of their at least first semester. Assuming you have completed your first semester, you need to submit transcripts of first semester, enrollment confirmation of second semester (to show you have paid second semester fee) and bank statement. No other docs are required.
Out of personal experiences, I would suggest once you visit US Embassy for Interview in Toronto, do not share the facts you are going to meet your relatives or friends and wana stay their for some time. Simply say you are going to just visit some nice places and yes be well prepared. Like you should know where you would go, where you would stay, for how long you will stay, what all places you will check out.
International students usually get 3 months entry to US (though the all visas are of 10 years, but don't get confused by this as at POE, you will be given not more than 3 months permit to stay as TRV).
You must not work while on Tourist Visa because if you are caught and deported, Canadian Border Services may (most likely will) take you for a ride.
cheers!