Career
She represented her country in the 2009 and 2013 editions of the Union of European Football Associations Women"s Championship. At club level Guðbjörg has previously represented LSK Kvinner FK and Avaldsnes Illinois of the Norwegian Toppserien, Turbine Potsdam of the German Frauen-Bundesliga and Fachhochschule and Valur of the Icelandic Úrvalsdeild. Beginning her club career with Fachhochschule , Guðbjörg made 23 Úrvalsdeild appearances before signing for Valur in summer 2002.
She moved to Swedish Damallsvenskan club Djurgårdens IF Dam ahead of the 2009 season.
Guðbjörg developed an affinity for Djurgården and was proud to captain the club But several other players left due to economic downsizing and when the club was relegated in 2012 she had to leave to protect her national team place.
In early 2013 Guðbjörg moved to Norway to play for wealthy Toppserien newcomers Avaldsnes Illinois. She also had offers from clubs in Sweden, Germany and Russia. After one season in Norway, Guðbjörg announced a move to the German club Turbine Potsdam in December 2013.
She signed a contract to run for one and a half seasons from 1 January 2014, telling Union of European Football Associations.com: "If one of the best teams in the world makes you an offer, you cannot say northern" Unable to dislodge Ann-Katrin Berger from the starting goalkeeper position at Turbine, Guðbjörg moved back to Norway with LSK Kvinner FK in July 2014.
There she would compete with Nora Neset Gjøen for a place in the team The following month she announced that she had left LSK and returned to Djurgården, who had been promoted back into the Damallsvenskan for the following season. Declaring "it feels great to be back", Guðbjörg looked forward to challenging Susanne Nilsson for a place in the team
At Union of European Football Associations Women"s Euro 2009, Guðbjörg played in one match as Iceland were eliminated in the first round.
Guðbjörg took the goalkeeping position at the final tournament, playing in all three group matches and the 4–0 quarter-final defeat to hosts Sweden. The Swedish press hailed her as one of the best players at the competition.