Hi Kate,
I'm in a similar boat and would be interested to meet up. I'm 32 and moved to Sydney last July with my boyfriend. Loving the Oz lifestyle but like you am feeling like I could do with a few more friends to enjoy it with.
I'm North shore too - Neutral Bay to be precise. I enjoy drinks, dinners and just generally exploring everything Sydney has to offer.
Let me know if you fancy meeting up sometime, Suze