Brisbane

You haven't specified whereabouts you're staying but generally the library activities are amazing and free, plus just being outside is fun here! Walking along the foreshore at Wynnum or Sandgate, playing in the big playgrounds like Kidspace (Chermobyl), Hidden World (Fitzgibbon) or Pine Rivers (sort of Bald Hills) are amazing. Nature walks in areas like Mt. Coot-tha, Bunyaville or Tinchi Tamba (sort of Bracken Ridge) are all great too, as you can access nature within a 1-year-old's range.