G'day mate and welcome to our world.
Some advice I just gave my brother in law (18 this week) is don't make a motorbike your first tool on the road. Get inside a car and learn the road rules, how traffic works and most importantly what to look for with people cutting you off. You know, road craft. If you are learning to ride a motorbike and learning road craft all at once (and doing it on something like a ZX2R) it will be sensory overload.
You might be alright but then again you might be scared to death. One of my buddies (after 8 years driving experience) got his bike license and and nearly didn't make it through 1 week. The on-road experience and learnign to ride a bike was too much for him... and I honestly thought he would be a natural. Good news he stuck with it and still rides now.
If you are hell bent on riding then at the very least get your license and try to ride someone elses bike for a while. Just be sure you are really ready to blow the big coin on a bike of your own.
Then, hit the RTA website (
http://www.rta.nsw.gov.au) and look for LAMS or Learner Approved bikes for a list of the bikes you can and cannot ride. There are quite a few bikes up to 600cc that you can ride, but it is all about power to weight so don't think that the LAMS 600 will go like a ZX6R!
If you are still in there and keen to ride there is a group in Sydney specifically for L's and P's and you will be amongst friends there. Go to
http://au.groups.yahoo.com/group/LearnerProvisional/ and check that out for heaps more info.
Finally, I don't know too much about the 2R and you would do well to find someone that has owned one if you are thinking of getting one. Generally, there is no such thing as a bargain in 2nd hand 250s. They are ususally cheap for a reason so be careful and buy wisely.