Gaupset hails from Molde and started her youth career in Rival and went on to the largest club in the city, Molde. She became a prolific goalscorer for youth international teams.[2] Her scoring Norway's only goal at the 2022 UEFA Women's Under-17 Championship did not prevent Norway from being eliminated.[3]
At a young age, she trained before school, after school and after dinner. High quantities of training may have contributed to an injury which made her miss half the 2023 season.[4]
Gaupset joined IL Sandviken in 2021, some time before her 16th birthday, and remained in the club when it was rebranded as SK Brann Kvinner in 2022.[2] Gaupset made her national breakthrough in the 2022 Norwegian Women's Cup final, where she scored the two goals that put Brann ahead 3–1 to Stabæk.[5][6]
She then made her international breakthrough during the 2023–24 UEFA Women's Champions League group stage. First, she was praised as "a sensation" during Brann's loss to Lyon.[7] One week later, in the reverse match against Lyon, Gaupset scored the equalizing goal in extra time.[8] Lastly, against Slavia Prague one of her crosses was converted to an own goal; with this being the only goal in the match, Brann progressed to the next round.[9]
In February 2024, Gaupset was called up to Norway's senior team in Gemma Grainger's first squad as national team manager.[10] She made her debut as a substitute against Croatia.[2]