Lubeck was born in the Netherlands, the eldest child of Valentin "Tijn" and Nel Lubeck. Her father's family were Chinese–Indonesian; they moved to the Netherlands after being imprisoned in Japanese internment camps during World War II.[3] She immigrated from the Netherlands to New Zealand in 1989, and became an international flight attendant for Air New Zealand in 1996. She joined the Flight Attendant and Related Services Association (FARSA) as a delegate and was elected as president of FARSA in 2009, serving four terms.[4][5] She graduated with a law degree in 2014 after studying part-time as a foundation student of the Auckland University of Technology Law School. In February 2017, Lubeck was admitted to the bar as barrister and solicitor of the High Court.[6]
During her time as president of FARSA she was involved in an operational merger arrangement with New Zealand's largest private sector union, E tū, resulting in the FARSA membership endorsing an amalgamation in November 2016. Lubeck served as the lead advocate in negotiations for the major airlines servicing the New Zealand market and was part of the High Performance Engagement (HPE) Leadership Team at Air New Zealand where organised labour and management engage in a consensus-based workplace democracy programme.[7][8]
Lubeck stood for Labour in the Rodney electorate in the 2017 election and was placed 32 on Labour's party list.[9] Lubeck placed second in the electorate behind incumbent Mark Mitchell, but was elected as a list MP.[10] In her first term, Lubeck was appointed to the education and workforce committee and the transport and industrial relations committee.[11]
In 2018, Lubeck sponsored a draft member's bill to ban conversion therapy.[12] Lubeck accepted a petition from Young Greens and Young Labour and worked closely with grassroots activist, Shaneel Lal in the movement to end conversion therapy in Aotearoa New Zealand.[13] Lubeck's bill was not selected to be debated in Parliament but a policy to ban conversion therapy was included in Labour's manifesto for the 2020 election.[14] When the party won the election it eventually passed the Conversion Practices Prohibition Legislation Act 2022 which was based on Lubeck's bill.