Guðrún had a biography on her written by Halla Gunnarsdóttir that was published in 2010 and she received the Knight's Cross of the Order of the Falcon nine years later.
[2][4] Guðrún worked as a supervisor for Þjóðviljan's equality page from 1978 to 1979 and as a reporter at the Royal Danish Theatre in 1982.
[1][4] Guðrún was long involved in politics and was elected Deputy Mayor of Reykjavík City Council in 1990 and served in the position until 1992.
[7] She helped to come up with legislation that gave same-sex couples the same rights as heterosexual people to adopt and to receive assisted insemination treatment from 27 June 2006.
[4] Guðrún was employed by the Ministry of Justice from 20 September 2010 to work as a liaison between the state and those who were put into public housing when they were children and adolescents and subjected to harsh treatment.
[3] She was appointed Knight's Cross of the Order of the Falcon in June 2019 for her "contribution to humanity and the struggle for equality of gay people".
"[7][8] A total of 11,430 signatures supporting a child violence prevention campaign were received by the Minister of Social Affairs and Children Ásmundur Einar Daðason on behalf of Guðrún's legacy.