Bergsvand started playing football for Heming, before she changed to
Lyn at a young age. She was part of the team that took Lyn from division three to the
first divisjon, and she became the captain of the team. Before the 2014 season, she went to
Stabæk, where she played six matches during the spring in
Toppserien, before she moved to the
USA to play football for
California Golden Bears at the
University of California, Berkeley. The summer of 2015, she played a few matches for Lyn in 1.divisjon before she returned to USA. After just half of the season, one of the
ligaments in the same knee that was previously injured, ruptured. The Summer of 2019, Sandviken wanted to sign her, but she said no since it didn't feel right to leave Stabæk, which at that point was at the bottom of the league.
Røa,
Vålrenga and
Kolbotn were all also among clubs that wanted to sign her. After it became clear that Stabæk would be
relegated, it became official that Bergsvand left the club and signed for Sandviken. She was in 2021 part of the team who won
Toppserien for the first time in Sandviken's history. After the season,
NTB, Norske Fotballkvinner and Sportkollektivet all placed her on the team of the season. She extended the contract with Sandviken, who changed name to Brann, after the 2021 season. On 5 January 2023, Bergsvand signed a two-and-a-half-year contract with
Brighton & Hove Albion. On 5 May 2025, it was announced that Bergsvand would be leaving Brighton when her contract expires in June 2025. On 6 June 2025, it was announced that Bergsvand had signed a contract with
VfL Wolfsburg until 30 June 2027. == International career ==