Fluent in English and SeSotho, Mokgapa attended Michael Mount Waldorf School and took A Levels at the British International College.
Mokgapa was "instrumental" in helping to co-found the POPArt Theatre at the Maboneng Precinct, which opened its doors in 2011.
[4] On British television, Mokgapa appeared in the ITV series Wild at Heart in 2008 and then in the BBC drama Silent Witness in 2010.
In 2016, she appeared in the Sri Lankan feature film A Love Like This directed by Chandran Rutnam which was shot in the Seychelles.
Qubeka's Sew the Winter to My Skin, South Africa's 2019 submission in the Oscars' foreign film category.