Turner was born in Ludhiana, the largest city in the Indian state of Punjab, to Squadron Leader Jasbir Singh Gill and Premjit Kaur on 13 April 1952.
She attended Bethany College, West Virginia, United States, gaining qualifications in history and political science.
After a three-year term on the council, Turner chose to contest the mayoralty, challenging long-serving incumbent Richard Walls.
Her win over sitting mayor Richard Walls was reported on widely and she was noted for bringing diversity to the mayoralty, with Wellington newspaper The Evening Post stating of Turner "Dunedin voters broke new ground.
[7] In the 2002 Queen's Birthday and Golden Jubilee Honours, Turner was appointed a Distinguished Companion of the New Zealand Order of Merit, for services to local government.