With the ending of La Nina here in NZ we will have relief particularly in the North Island from what has been a very wet couple of summers due to increased north-easterly rain and exposure to the tropics, including Cyclone Gabrielle which became a major disaster for Hawke's Bay around the East Cape to Auckland. In Canterbury it has reduced our sun hours while raising average temperatures but we've generally not been affected in an extreme manner. Marine heatwaves became frequent (explaining the temperature increases to a large degree), however it could be said that the number of ex-tropical cyclones impacting the country was lower than it could have been.
El Nino should it develop will result in stronger and more frequent westerly winds, greater rainfall for the south and west and also increase the likelihood of extreme high temperatures and drought in eastern areas of both islands but particularly North Canterbury, the latter due to the significant foehn winds generated across the Southern Alps and Te Urewera/Ruahine/Tararua mountain ranges by westerly flows often in combination with southern ocean cyclones. However in the meantime neutral conditions are not without their hazards; some of the strongest winds I have experienced in my time here were in 2013 under a neutral regime, with 2013-14 also featuring elevated and powerful ex-tropical cyclone arrivals to NZ - most notably Lusi and Ita - plus a devastating cyclonic/southerly event for Christchurch in March 2014.
Over in Australia, coastal New South Wales will likely welcome the departure of La Nina with the soaking they have received in its tenure.