There are a number of nearby places that sell general grocery items.

There is a Kwikimart grocery store on Level Five of the adjacent Auckland City Hospital Support Building.
Opening hours are:
Monday to Friday 7:00am to 6:30pm
Saturday 9:00am to 5:00pm
Sunday 9:00am to 4:00pm.

There is a superette two minutes walk away in the shops on Park Road.

You will find a Woolworths Supermarket in the "277" shopping complex on Broadway in Newmarket. You can get there by taking the Link Bus from Park Road. View the Link Bus timetable and route.