Neat!
I’m an American who has lived in NZ for 8 years - and for the past 5 months I’ve lived in Auckland.
Stephanie is right - depending on where you’re coming from you might be surprised at the cost of living here. You’ll likely not find your own apartment (as is typical where I come from) but you’ll “flat” with other people - i.e.; share a house/expenses with others.
Take a browse on Trade Me as Stephanie has suggested - that’ll give you an idea of the average costs. If you’re not sure about a certain neighbourhood, ask us here. Each neighbourhood has their pros and cons in regards to quality of life, access to public transport, etc …
From time to time friendly people on Diatribe are in need of a flatmate, so it wouldn’t at all be inappropriate for you to post a ‘flat wanted’ ad. Tell a bit about yourself and what sort of weekly rent is in your budget.
Hope that helps, and have fun at Media Design school!