He represented Dauphin from 1903 to 1907 in the Legislative Assembly of Manitoba as a Conservative. He was born in Florence, Lambton County, Ontario, the son of Robert Gunne, a native of Ireland. Gunne was educated there and at Manitoba Medical College.
He moved to Dauphin, Manitoba in 1893, setting up practice there.
He later practised in Winnipeg and then returned to Dauphin, where he set up a medical clinic. He died in Dauphin at the age of 63.