Bonnevie was educated at Swedish National Academy of Mime and Acting (1997) and had her first film role in Hrafn Gunnlaugsson's Hvíti víkingurinn (The White Viking), at the age of sixteen.

Her screen debut was in 1991 in the movie Hviti vikingurinn (The White Viking), directed by Hrafn Gunnlaugsson.

[1] In 2004, she appeared in the Swedish film Dag och natt directed by Simon Staho.

In 2007, she played the female lead in the Russian film The Banishment directed by Andrey Zvyagintsev.

[2] In 2012, she played Countess Isolde in Belle du Seigneur alongside Jonathan Rhys-Meyers, Natalia Vodianova and Ed Stoppard.