Gibb's best known TV role was on the soap opera Search for Tomorrow as Susan "Suzi" Martin Wyatt Carter from 1981-1983. She was also a regular for three seasons on the original Fame TV show and appeared in the first three Diagnosis Murder movies in 1992 as Dr. Amanda Bentley.
In the TV adaptation of Gypsy she starred as the adult Rose Louise/Gypsy Rose Lee, opposite Bette Midler as Mama Rose. She later starred in the 1995 short lived TV series Deadly Games. She has also played in many TV movies, including the role of Karen Carpenter in The Karen Carpenter Story (1989).
She is married to Scott Kramer, with whom she has three children.
She is 5'2" tall.
A popular misconception is that she is a relative of the Bee Gees. She fondly remembers: "In 1988 I received a sympathy card about somebody named Andy. It was nice, but at first, I had no idea who it was referring to."