Begović began acting early, making her first screen appearance at the age of 18 through a small part in Occupation in 26 Pictures, a 1978 film directed by Lordan Zafranović.

[3] She made her breakthrough role in Zafranović's next film, The Fall of Italy (1981),[3] where she played Veronika, the daughter of a wealthy local from the Dalmatian coast who sided with the occupying Italian Fascists.

This debut established Begović as one of the sex symbols of 1980s Yugoslav cinema, a status that she later successfully maintained despite appearing in relatively few films as her acting career shifted toward theater.

In 1996, while driving her car in Zagreb, she was involved in a traffic accident resulting in the death of a motorcyclist.

[9] On 15 August 2000, in the village of Splitska on the island of Brač, a few months after marrying the Croatian businessman Josip Radeljak Dikan, and a month and a half after giving birth to their daughter, Lana, she was involved as a passenger in a traffic accident, a rollover, which claimed her life.