Gauvin was born on the French island of Réunion and moved to the south-west of mainland France with her mother and sister at the age of 4.

[3] In May 2017, following a successful season in which she scored 13 goals in 17 appearances and helped Montpellier qualify for the 2017–18 UEFA Women's Champions League, Gauvin signed a contract extension until 2020.

[4] After scoring 14 goals in 16 appearances for Montpellier in the 2019–20 season, Gauvin was signed by FA Women's Super League club Everton in August 2020.

[6] After five months without an appearance for the club while recuperating from minor injuries,[7] the Courage traded Gauvin to Houston Dash in exchange for $25,000 in allocation money and a conditional second-round pick in the 2024 NWSL Draft.

In July 2015, Gauvin helped France to win the gold medal at the 2015 Summer Universiade, including opening the scoring against Russia in the 2–0 victory in the final.

[2] She made her official debut appearance for the French senior team on 23 October 2015, in a 2–1 loss to the Netherlands, coming on as a substitute for Marie-Laure Delie in the 71st minute.