[1] During her playing career, she was a two-time Olympian with the Swedish national ice hockey team.

For the 2017–18 SDHL season, she took a year of leave from her job with Modo to focus on playing full-time.

[10] In June 2018, Grahm announced that she was leaving Modo to sign a two-year contract with Brynäs IF Dam which would include an off-ice position as a manager for the women's side and training towards becoming future Sports Manager for the whole organisation.

The move came as Brynäs had begun a wide-ranging rebuild after suffering poor results and numerous player complaints in previous seasons.

[13][14][15] In 2011, Grahm faced a major health scare after becoming partially paralyzed as a result of Guillain-Barré syndrome.