She attended Currie High School and the University of Edinburgh.

[1] On 20 November 2020, Webber was chosen as the Conservative candidate for Edinburgh Western at the upcoming Scottish Parliament election.

[1] She faced calls for her deselection in March 2021 after WhatsApp messages that were highly critical of COVID-19 restrictions were leaked.

[4][5] On 8 May 2021, she was elected as a Member of the Scottish Parliament (MSP) for Lothian.

[7] In the 2024 United Kingdom general election, Webber was the Conservative candidate in Edinburgh South West, and came in third place behind Labour's Scott Arthur and Joanna Cherry from the Scottish National Party.