[citation needed] Cuevas Barron majored in political science at the Autonomous Technical Institute of Mexico (ITAM).

[2] She is a second cousin to the wives of Alfredo del Mazo Maza, governor of the State of Mexico, and José Antonio Meade, the Institutional Revolutionary Party's 2018 presidential candidate.

She has occupied different positions inside her political party including head of the PAN in Mexico City's Miguel Hidalgo borough.

On 18 October 2017, Cuevas Barron was elected as the President of the Inter-Parliamentary Union, the first female from the Americas, after formally contending with Uruguayan politician, Ivonne Passada.

[6] Since 2022, Cuevas Barron has been a member of the Commission for Universal Health convened by Chatham House and co-chaired by Helen Clark and Jakaya Kikwete.