You can learn a lot about scientific advances from going on a tour of a medical institution. Check to see if Burwood Hospital is open to visitors while you're in town.
When it comes to things to do and see in Christchurch, Burwood Hospital is a traveler favorite. And in great news for your budget, it's free. Mona Vale, New Brighton Beach and Canterbury Museum are also great to see and are within easy reach of the health care institution.