Her parents fled François Duvalier's regime,[1] arriving in Amos, in Abitibi, in 1966 when Dominique was two, and moving to Montreal in 1968.
[5] In the 1998 Montreal municipal election, Ollivier was a candidate for former mayor Jean Doré's new party, Équipe Montréal, in the Pointe-Sainte-Charles district.
[5] In August 2004, in the lead-up to the by-election in the riding of Gouin, she lost the Parti Québécois nomination to future MNA Nicolas Girard.
[2] From 2006 to 2011, Ollivier was managing director of the Institut de coopération pour l'éducation des adultes (ICEA).
[3] In 2021, Ollivier ran for city councillor for the Projet Montréal party in the Vieux-Rosemont district of the Rosemont–La Petite-Patrie borough.