Burch has formal tertiary education, with a Bachelor of Arts in Liberal Studies, and Post-Graduate qualifications in Health Administration and Information Systems Management.

Her hobbies include spending time with her family, community events and volunteering, swimming, gardening, walking, reading, and listening to music.

[2][3] Upon entering the Assembly, Burch was appointed Government Whip, Assistant Speaker and ALP Caucus Secretary.

[4] Burch faced controversy when it was alleged that her chief of staff briefed the Construction, Forestry, Maritime, Mining and Energy Union (CFMEU) on matters regarding ACT Policing which are still under investigation.

[8] Burch was again re-elected at the 2020 Australian Capital Territory election, receiving the highest vote of any candidate in the Brindabella Electorate, and obtaining a significant swing towards her.