Past political and government positions include City and Borough of Juneau Assembly: 3 Terms, Chair, CBJ Finance, Chair, CBJ Human, Resources Committee, CBJ liaison to School Board and Parks & Recreation Advisory Committee, Former Chair, Trails, Working Group, Chair, Affordable Housing and Alternate Member: Alaska Seafood Marketing Institute. Member of the Alaska Native Sisterhood and the Alaska Humanities Forum.
In 2008, Muñoz beat Democratic incumbent Andrea Doll in District 4, 50.6% to 48.4%. In 2014 Democrat George McGuan ran against Muñoz in district 34. Muñoz won 62.4% of the votes and McGuan won 37.6% of the votes in a mainly Republican district. It was the first time she had faced opposition in six years. In 2016, Democrat Justin Parish beat her 50.9% to 48.5% on a platform of fiscal responsibility. Parish declined to run for reelection after a single term and was succeeded by Democrat Andi Story. , KTOO-TV, Jacob Resneck, April 24, 2018. Retrieved August 25, 2019.
Sponsored Legislation
Muñoz’s legislative work focused on support for small business, public education and the environment. She sponsored legislation offering tax incentives for contributions to public education, as well as new housing development. She authored legislation strengthening Alaska’s Oil Spill and Response capabilities, and carried legislation for Governor Sean Parnell which committed $3 billion to pay down Alaska’s retirement debt.. Gun Control: Muñoz supported pro second amendment legislation. Equal Rights: Muñoz voted for same-sex marriage and supported the inclusion of gender identity in Alaska's anti-discrimination laws..
Personal life
Muñoz is a fourth-generation Alaskan. She and her husband Juan have two children, Mercedes and Matthew. She graduated from Juneau-Douglas High School, and received a Bachelor of Arts in political science from the University of the Pacific. She was crowned Miss Juneau in 1982. Her mother-in-law was the famed Alaskan artist Rie Muñoz. Muñoz is Episcopalian. As a teenager she worked aboard fishing scows and in fish processing plants on the "slime line." Cathy worked in the Ad Lib art gallery in downtown Juneau which she opened with her mother Sally, until she decided to run for the legislature in 2008. Cathy's father, Republican Elton Engstrom, served in the state House from 1965-1966 and the Senate from 1967-1971. His father Elton Engstrom Sr. was a territorial and state senator who died in office in 1963. Elton Sr. Served as the Chairman of the Republican Party of the Territory of Alaska for twenty years. and his mother served in the 18th Territorial Legislature in 1947.