On obtaining her soloist's diploma from Reykjavik College of Music, she started her post[1]graduate studies with Prof. Hans Leygraf at the Mozarteum in Salzburg and, on being awarded a two year DAAD scholarship, she continued her studies with Prof. Leygraf at the Academy of Music and Drama in Hannover. Since her debut as soloist, SG has given manyconcerts in Iceland and abroad. She has appeared in concerts in many European Countries, USA and China  as soloist, with orchestras and in chamber music. She was a member of Reykjavik Chamber Orchestra for years. Selma has recorded several CDs and also made many recordings for
Icelandic Radio and Television. She has worked for many years as a teacher and an accompanist at the Icelandic Academy of Arts and other schools in Iceland. She was the President of the Icelandic Soloists' Association from 1988 to 1992, a board member of the Reykjavik Art Festival from 1990 to 1995 and, on behalf of the Festival, in charge ofthe cooperation with the Wagner Festival in Bayreuth for the shortened version of Der Ring des Nibelungen at the National Theatre in Iceland in 1994. She is one of the founders or the Richard Wagner Society in Iceland and its president since the beginning in 1995. Since 2014 she is a board member of the International Association of Richard Wagner Societies!