After a preparatory class at the Lycée Joffre in Montpellier, Fraïsse studied Classics at the UPVM.

She obtained the agrégation de lettres and was appointed as a secondary school teacher.

She defended her doctoral thesis, entitled Traduction, notes et commentaire de l'ouvrage de Facundus d'Hermiane Pro Defensione Trium Capitulorum (Translation, notes and commentary on the work of Facundus d'Hermiane Pro Defensione Trium Capitulorum) in 1992, supervised by Jacques Flamant,[1] thanks to a scholarship from the École de Rome.

[3] Fraïsse was head of the Literature, Arts, Philosophy and Linguistics Department from 2002 to 2008, and was elected president of UPVM in 2008.

[9] Believing that the Humanities and Social science were not sufficiently represented in the project, she left the negotiations during her second term (2012–2016).