Skoryk (nee Kuzma) was born in Lubaczów (today in Poland) in 1939 in a family of high school teachers. She graduated in architecture from Lviv Polytechnic Institute. She was briefly employed at Donetsk branch of Dipromisto (State Scientific-Research Institute of Urban Design) in 1960 before moving to Lviv, where she became an architect at Lvivteploelectroproekt (1961) and senior architect at the Lviv branch of Dipromisto (1961). From 1971, she taught architectural design at Kyiv Art Institute. In 1990, she became a professor of architecture at the Ukrainian Academy of the Arts.

Skoryk is one of the leaders of the People’s Movement of Ukraine (Narodnyi Rukh Ukrajiny), the first opposition party that emerged in Ukraine in the 1980s. Between 1990 and 1994, she was a member of Ukrainian parliament and the chairwoman of a subcommittee of the Commission of the parliament (Verkhovna Rada) of Ukraine on Culture and Spiritual Revival. Since 1995, Skoryk has been the president of the International Society “Ukraine-Israel.” She maintains an anti-nationalist, multicultural position.

She was married to composer Myroslav Skoryk (1938-2020). Their daughter became an artist.