Born in Nowy Sącz, she studied with Piotr Paleczny at the Fryderyk Chopin University of Music in Warsaw (2011–13). She graduated from the Karol Szymanowski Academy of Music in Katowice under Wojciech Świtała and Maria Szwajger-Kułakowska. Simultaneously she also studied historical piano performance in the class of Katarzyna Drogosz at the Academy of Music in Katowice, and in 2014 she graduated in harpsichord in the class of Małgorzata Sarbak at the Fryderyk Chopin State Music School in Warsaw. She also studied at the Guildhall School of Music and Drama in London under David Dolan. Since 2016 she has been a PhD student at the Music Academy in Gdańsk. She has participated in masterclasses led notably by Robert Levin, Marek Moś, Maciej Grzybowski, Malcolm Bilson, and Christine Schornsheim. Her accolades include the 2nd Prize at the International Competition for Young Pianists in Ettlingen, 2nd Prize at the New Orleans International Piano Competition, and 2nd Prize and Special Prize at the International Piano Competition for Young Musicians in Enschede. Her interests encompass both historical performance and 20th-century music. In addition to Baroque, Classical, and Romantic works, her repertoire includes compositions by Messiaen, Bartók, Crumb, Ligeti, Schoenberg, Górecki, and Stockhausen. She is also active as a chamber musician, working with cellist Marcin Zdunik, with whom she recorded a Robert Schumann album released by the National Fryderyk Chopin Institute (2014). She also performs in duo with pianist Martyna Zakrzewska. She has given concerts with the Łódź Philharmonic, Białystok Opera and Philharmonic, Warsaw Music University Symphony (Latvia), Netherlands Symphony, Liepāja Symphony, AUKSO Chamber Orchestra, and the Beethoven Academy Orchestra.
She has received scholarships from the National Fund for Children in Warsaw (2003–10), the Ministry of Culture and National Heritage, as well as from the Sapere Auso Lesser Poland Scholarship Foundation. In 2010, she received the Franciszek Wybrańczyk Artistic Scholarship, and in 2012, a scholarship from the Jütting Foundation.
Aleksandra Świgut is represented by the Ludwig van Beethoven Association.