Licence holders from another country (other than New Zealand) who come into NSW and hold a permanent visa under the Commonwealth Migration Act 1958 are allowed to drive or ride in NSW on their current overseas licences for a maximum of three months from the date the permanent visa is issued.
If you are a licence holder from New Zealand (regardless if you are a permanent or temporary resident), you must obtain a NSW driver licence within three months of residing in NSW or you must stop driving.
The most up to date and current information regarding the NSW licence application procedure for overseas licence holders can be found using the below link from the RTA website.