There's no restriction on owner occupiers having pets in my building (Victoria Point) but in the OC rules it says that if any pet causes a nuisance the OC will issue a caution and if the problem continues will require the owner to get rid of it. For flats that are rented out, most landlords impose a no-pets rule.
Also to add to my earlier comment, be cautious about buildings that include serviced apartments. Vic Point has a 3-month minimum tenancy rule; short stay occupants in buildings that allow them tend to treat the place like a hotel.
No restrictions eh? well, there might be after reading this article.
http://au.news.yahoo.com/thewest/a/-/newshome/9019028/1-5m-hong-dong-really-is-top-dog/