A lot of people will say that canberra is cliquey but it hasn't been my experience. Since having my first baby I've made so many new mum friends, some in the berra for a few years and some long term, hasn't mattered. There are so many free events in canberra for parents to meet up, there are always mums looking for new people to join playgroups, walking groups, paint and play. Lots of good mums facebook groups top.
You have to start small and find people you click with but I think you'll find there are enough events and groups to join so you'll find some to suit you and people you enjoy being around.