Galstyan was born in Yerevan on 28 November 1962.[1] She attended Yerevan State University, where she graduated with a degree in philology in 1985. She worked for a year as a teacher in Talin, and then for several years at the Organization of the Black Sea Economic Cooperation.[1] She then worked as a coordinator for the Hamazkayin, before joining the Armenian Ministry of Science and Education.[1] In 1996, she obtained a master's degree in political science from the American University of Armenia, and then she continued to study politics at the Tbilisi School of Political Studies.[1] In 2006, she earned her PhD in linguistics from the Armenian National Academy of Sciences.[1] She was then a lecturer for 2 years at Glendale Community College.[1]
She has written books, including several translations of books from English.[2][3] She won a prize from the Canadian Embassy in Armenia for the best translation of English literature into the Armenian language.[1]
Galstyan was elected to the National Assembly of Armenia in May 2007.[1] In the legislature, Glastyan has been a member of the Standing Committee on Science, Education, Culture, Youth, and Sports.[1]