Hi and welcome from the bottom of the world.
Beverley has just covered all the basics, and saved you many quid (we used to have real money in Oz too;)) Laser worked well for me. The pain was well worth it.
Apart from that, expect your first efforts to be garish and a bit over the top, much like a 13 y/o girl's experimenting. Any cisgengered girls your own age you are out to would be a good source of help and advice. It will depend on your personal taste too. If you are Emo or Goth, the sky is the limit of course!
I have found that "less is more" is very true for me, and rarely use anything more than moisturiser, mascara, occassional eye liner, and lipstick. I figure it's hard to be a "lipstick lesbian" if I am not wearing at least that.

You will eventually settle on your own personal style. Main thing is, as always with being a girl, have fun!
Karen.