Born in Devonport in 1947, Di Hollister began her career as a teacher.
In 1989, she was elected to the Tasmanian House of Assembly for Braddon as an Independent Green. In 1992, she and her five Independent Green colleagues formed the Tasmanian Greens.
Hollister was a vocal opponent against the proposed construction of a road through the Tarkine/takanya wilderness. In 1995, Hollister – along with Bob Brown, Christine Milne and Peg Putt – was arrested while protesting against the controversial project.
Hollister held her seat until she was defeated at the 1998 election.