She was educated in law, French language and political science, and graduated with the cand.polit.
Degree in political science at the University of Oslo in 1981. Before Kullmann entered politics she was a consultant at the Norwegian Confederation of Norwegian Enterprise (NHO). Since 1972, she has been married to Carsten O. , former editor of the finance magazine Dine Penger.
They have two children. From 1977 to 1979 she was the first female President of the Norwegian Young Conservatives. She was Deputy Chairwoman of the Conservative Opposition 1986-1989, and again 1990-1991.
Kullmann served as Minister of Trade and Shipping in the Cabinet Syse from 1989 to 1990. In 1991 she was elected chairwoman of the Conservative Party, succeeding Jan P. Syse, but resigned after four years in 1994. After leaving parliament in 1997 Kullmann has been a Managing Director in Aker RGI and since 2002 active as an independent consultant.
From 1982 to 1988 she also served as Deputy Party Chairwoman.
[Nobel Committee for Physiology or Medicine]
She served as Minister of Trade and Shipping from 1989 to 1990 and as a Member of Parliament from 1981 to 1997, and was leader of the Conservative Party from 1991 to 1994. A member of the Norwegian Nobel Committee since 2003, she is also a board member of the Nobel Foundation. She was member of the municipal council of Bærum 1975–1981 and then served as deputy leader of the Executive Committee for Education.
She was a member of the Norwegian parliament, the Storting, from 1981 to 1997. She has been a member of the Board of Directors of several large companies and organisations, including Statoil, Norway's largest petroleum company, Scheiblers Legacy, SOS Kinderdorf Norway and Radio Channel P4. Since 2009, she has been one of the seven regular board members of the Sweden-based Nobel Foundation, which has the overall responsibility for all the five Nobel Prizes.