Modo Hockey Having grown up a Modo fan in
Kramfors, Grahm joined the organisation in 2005 at the age of 14. On 8 June 2011, it was announced that Grahm and Swedish national teammate,
Tina Enstrom, would join the
University of Minnesota–Duluth Bulldogs for the
2011–12 Minnesota–Duluth Bulldogs women's ice hockey season. However, she never attended UMD. In July 2015, she became the first women's hockey player to be added to the database of the hockey statistics website Elite Prospects. She missed the large parts of the 2015–16 SDHL season, including the entire playoffs, after suffering a series of injuries, including a pinched nerve at beginning of the season and breaking her foot in the latter half. She was still able to put up 22 points in 29 games, as the club finished in 8th. Off the ice, she held a job within the Modo organisation team office, including starting the MODO Women's Future programme, which organised practices for young girls in the region with Modo's professional women's players. For the
2017–18 SDHL season, she took a year of leave from her job with Modo to focus on playing full-time.
Brynäs IF 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. She would be named team captain ahead of the
2018–19 SDHL season. In March 2020, after putting up 33 points in 33 games in the
2019–20 SDHL season and leading the club to the semi-finals for the first time in seven years, she announced that she had extended her contract with the team by another two years.
International Grahm took part in the selection camp for the Swedish national team at the
2010 Winter Olympics, but failed to make the team, being the last player cut from the roster. She would make her Olympic debut in
2014, scoring 4 points in 6 games as Sweden finished in 4th, losing the bronze medal game to
Switzerland. She would score 5 points in 6 games, including her first Olympic goal, at the
2018 Winter Olympics, as Sweden finished in 7th. An assistant captain for the Swedish national team and having made over 200 international appearances, Grahm was one of the leaders of the
2019 players' strike over lack of compensation for international games and sub-standard conditions, including the decision by the Swedish Olympic Committee to cut all funding for the women's team and the team's first-ever relegation from the top IIHF division. == Personal life ==