Usually CTC throw you into the fixed base 737-300 sim which does have an EFIS setup. You are not expected to be able to fly the 73 fluently - the reason they use a much more advanced and higher performance aircraft is to allow a potential cadet's trainablility and learning curve to be assessed in a technical environment. If you have some flying experience, it definitely helps a bit but CTC will in turn expect more from you in the sim. You will have an instructor tell you where all the relevant instruments are and what indications to be looking for. Generally you will start off just in control of the yoke and rudder pedals, and then the power levers may be thrown in for good luck as you fly an ILS at the end.
As for accommodation, CTC provide self catered accommodation for cadets included unders the training bond, but you will need to account for living costs, fuel etc. Overall, NZ is a little cheaper than the UK but alcohol costs about the same. NZ$150 per week would be a fairly decent figure to start with I'd say.