Start by acquainting yourself with the inner city. Begin by walking from Karangahape Rd (K Rd) to the Wynyard Quarter, stopping along the way to have at least a quick whiz around the New Zealand section of the Auckland Art Gallery. Catch a ferry to Devonport, head up North Head and cool down at Cheltenham Beach (weather and tide permitting), before ferrying back to the city for dinner.
On day two, head up One Tree Hill, wander around Cornwall Park and then visit the Auckland Museum and Domain. Take a trip along Tamaki Drive, stopping at Bastion or Achilles Point to enjoy the harbour views. Spend the evening dining and bar hopping in Ponsonby.