If you come to Australia for the snow, you're going to be dissapointed. I'd much more recommend coming for our wonderful summer instead of the winter. Plus NZ is just across the pond and they have a much better winter than us in Oz. But even if you do decide to come for the winter it will still be a blast to just have to experience of skiing down-under.
TL;DR You may end up getting let down, NZ is next door, come for the summer
You guys arn't very good ambassadors for Australia... In my opinion, you're doing it wrong. If you want powder, stay in the North Hemisphere. But Oz has the best spring skiing in the world along with California. Long, warm, sunny days in Aug, Sept, Oct with no wind, good snow base, and cold beers at the bottom of the mountain. It's a myth that NZ gets better snowfall than us - we get the same snow conditions from the same weather systems. The only difference is, NZ resorts are usually on wind hold because there is no surface lifts or tree shelter. Oz resorts are more developed with better facilities/nightlife/parks (except for snowpark), though NZ has better access to backcountry terrain (which is where the goods are). Though having said that, for the last two seasons we've had way better snowfall than NZ including my best week of snow ever in the Southern Hemisphere.
If you say you're coming here to study, you'd much prefer to be living in Melbourne (closer to Hotham, Buller, Falls) or Sydney (Perisher or Thredbo) than a farm in New Zealand. Simple fact - Aussie chicks are way hotter.
PM remster he will give you the lowdown but ill tell you what i reckon. hutt would probably one of the more reliable mountains for good snow in nz. the park is supposed to be pretty good but havnt skied it myself but check out this website for what the park was like last year http://parklifenz.com/ hope that helps!