It's a bit hard to generalise, but pricing I've seen in NZ is around low 90s NZD for a daily lift ticket, whereas Australia tends to be around low 100s. Convert to AUD and the difference is NZ lifts are about 65% of the cost of the Australian ones.
That's only for full adult prices. The OP is a beginner, & rates at Coronet & Remarks are NZ$45 for adults & NZ$25 for juniors. Also, NZ youth rates (under 17) are around 1/2 of a full adult ticket. Most OZ resorts charge full price for kids over 14, and the junior rates are typically around 2/3 of the adult rate. Also, the Remarkables has a family ticket for NZ$117 for 1 adult + 1 youth
That said, from what I've been able to tell, the Australian resorts (Perisher in particular) are much bigger, so you get more lift access for the same money. I'm used to AU resorts so was surprised when comparing recently that some NZ resorts only have 3 or so lifts for that money - Perisher has 45 lifts.
I've skied all over Australia as well as NZ, Canada & USA for many years. The number of lifts really isn't an issue. eg. Whistler-Blackcomb has 38 lifts compared with Perisher's 47, but has nearly 3 times the skiable terrain and almost 4 time the vertical; and Whistler is 10 times the resort that Perisher is. It is more to do with the queueing time (ie the number of people the lifts can move compared to the numbers on the mountain - NZ resorts have far less numbers than Australia), and the variety of the terrain suitable for members of your party.
Accomm and lifts in NZ are definitely cheaper, but when you add on airfares and car hire (may not be required in OZ) I'm not sure if there's much difference in it.
nzski has package deals for under NZ$1500 for 6 nights for a family of 4 in Queenstown which includes 3 days lift tickets, free shuttles and more. I haven't seen anything in Australia for less than double that. As I said previously: in Australia you have to pay to get into a ski resort. It is either a daily charge for car entry, or else you cop it in the bus fare. If you shop around, you can probably get a car hire in NZ for around the same price as Oz resort entry prices. Add another $800 for ski hire (save around $200 off that if you are in NZ), & you're probably around the mark in that there isn't much difference unless you can get cheap airfares.
For me, price isn't the main consideration, so I will most likely ski in Australia again this year. I'm more concerned with the overall experience, & my last visit to NZ (Mt Hutt) in 2009 left me a bit disillusioned. My issues in order of importance to me are:
1. Slope preparation - the grooming staff concentrated on their race teams and terrain parks. The piste preparation for the general public was amateurish at best.
2. The staff attitude & cleanliness of cafeteria area was bad. There are signs up all over saying "No Bags", and bags are stacked around nearly every table & left there all day.
3. The "road" resembles a goat track, and is worse now than it was in my previous visit there 5 years before. That said, Coronet is OK, but it is the only sealed road to an NZ ski resort.
4. Mt Hutt is colloquially known as Mt Shut for a very good reason. The place closes down for wind and snow, & you usually have to get there to find out.
Also, apart from some limited accommodation at Cardrona, none of the commercial fields have on-snow accommodation. You will have anywhere from 20+ minutes driving each way, or double that on the bus. If you go by car, you will be a lot more likely to have to fit chains than you would in Australia.