So I spent about 5 days in Calgary last year, and stayed at Wicked Hostel.
It's pretty close to the center of the city (I walked everywhere, despite it being -15C), and was a short bus ride from the Greyhound station. A nearby shuttle also takes you to/from the airport, where I met friends after my stay, before we headed into the Rockies.
It's full of fun, friendly people from all over the world. Most people are out and about as they're sightseeing, so you can always get some quiet time if you want it, and then in the lounge there's still the option of socialising. They have events on as well.
Their kitchen is impressively featuredfull-featured, there's free wifi and free laundry too.
Note that you've not said where you're from, and one exception they have is you need to be out of state in origin. If that doesn't work for you, you can check the other hostels in town on hostelbookers.comhostelbookers.com - many of them don't have that restriction.