A member of the Social Democratic Party of Switzerland, she was the first woman to be elected President of the Council of State of Vaud.

Gorrite was born on 6 July 1970 in La Chaux-de-Fonds to Spanish Basque-Catalan parents who worked as trade unionists.

Gorrite joined the Social Democratic Party of Switzerland in 1993 and was elected to her municipal council that same year.

On 1 April 2012, Gorrite was elected to the Council of State of Vaud, where she chaired the departments of infrastructure and human resources.

On 28 September 2023, she announced that she was diagnosed with cancer and was taking a hiatus from her political office in order to receive treatment, with plans to return in 2024.