Bruyère studied mathematics at the University of Mons-Hainaut, one of two universities that merged in 2009 to form the University of Mons, and earned a master's degree in mathematics there in 1985. She completed her Ph.D. in computer science in 1989, at Paris Diderot University. Her dissertation, Codes prefixes, codes a delai de dechiffrage borne, was supervised by Dominique Perrin. She also obtained a second Ph.D. in sciences from the University of Mons-Hainaut in 1991.
