Bombardier obtained a master's degree in political science from the Université de Montréal in 1971 and a doctorate in sociology three years later from the Sorbonne. She began her professional career as a research assistant on the Radio-Canada television programAujourd'hui. Starting in 1975 she hosted a number of programs such as Présent international, Hebdo-dimanche, Noir sur blanc, Le Point and Entre les lignes. She hosted Trait-d'union from 1987 to 1988, and participated on Aujourd'hui dimanche and L'Envers de la médaille. Noir sur blanc was the first public affairs program to be hosted by a woman in Quebec. There Bombardier interviewed Prime Minister of CanadaPierre Trudeau, novelist Georges Simenon, Prime Minister of IsraelGolda Meir, President of FranceValéry Giscard d'Estaing and his successor François Mitterrand. In 1999, she hosted and produced the science program Les Années lumières on Radio-Canada radio. She has written a number of articles in the press, some of which have been controversial. Her articles have appeared in Le Monde, Le Devoir, L'Express de Toronto, Châtelaine, Le Point and L'Actualité. She has written La Voix de la France, Une enfance à l'eau bénite, Aimez-moi les uns les autres, Nos chères amies, or more recently L'énigmatique Céline Dion. In 2003, she was fired via e-mail from the publictelevision network Radio-Canada for engaging in a debate on same-sex marriage against Louis Godbout, spokesperson for the Quebec Gay Archives, during an interview-format segment of Le Point, an evening information show. She has been scathing about reality television programs, especially Quebec's Star Académie. In 2007, Bombardier wrote the song La Diva for Celine Dion, included on the albumD'Elles. She also followed Celine Dion during her Taking ChancesWorld Tour as research for her book L'énigmatique Céline Dion.
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In 1990, during a television confrontation on a French book programme "Apostrophe", Bombardier said of the writer Gabriel Matzneff: "Some older men like to attract little children with sweets. Mr Matzneff does it with his reputation." At the time, she was insulted in the press. In 2019, Bombardier wrote the column "The Decline of the Whites." She started by noting the demographic fact that in many US cities, whites are already in the minority, and she stated that by 2050, in such countries as Canada, New Zealand and the US, whites could become a minority group.
Bombardier championed Next Episode by Hubert Aquin in Canada Reads 2003. In the 2007 edition of Canada Reads, an "all-star" competition pitting the five winning advocates from previous years against each other, Bombardier returned to champion Gabrielle Roy's novel Children of My Heart.