In 2006, when she was still a student of the AST National Academy of Theatre Arts in Kraków, she made her stage debut at Stary Theatre when she played the part of Herma in Midsummer Night's Dream directed by Maja Kleczewska. Soon, she gained more roles, for example, in Sejm Kobiet and Operetta directed by Mikołaj Grabowski, Oresteia by Jan Klata, and Oczyszczenie by Petr Zelenka.
She also performed in some plays in other theatres, for instance: in Wassa Żelaznowa directed by Waldemar Raźniak, in musical Chopin Musi Umrzeć and Sonet Belzebuba by Krzysztof Jasiński .
Soon she became a specialist in daring debuts. In 2006, when she performed for the first time on the stage of Stary Theatre, she also performed in a television play – Doktor Halina directed by Marcin Wrona. She was awarded for this role in the Two Theatres Festival of the Polish Radio and Television Dramatic Art in Sopot.
Two years later she made her debut on the big screen in the film Wednesday, Thursday Morning directed by Grzegorz Packa – a variation of Before Sunrise by Linklater. Kulig played a young lady who would spend long hours with a randomly met boy engaged in a game of lies, half-truths, and seduction. She won a prize for the best debut at Gdynia Film Festival for the role.