Šuica was born in a modest family in Dubrovnik, FPR Yugoslavia. Her father used to make a living doing housework in Konavle, while her mother was a housekeeper. She graduated from the Zagreb Faculty of Humanities and Social Sciences in 1981, majoring in English and German language. She worked as a high school teacher, university professor and principal in Dubrovnik up until her mayoral election win in 2001. Šuica's wealth amounts to over 5 million euro, according to her own declaration to the Croatian parliament. She owns three houses and two apartments in Croatia, a cottage in Bosnia, a yacht, and three cars. The origins of her wealth have been subject of controversy. While Šuica claims these derive from inheritance and from her husband's life savings as a navy captain, journalists have contested this account as untenable. Šuica has not released documents to corroborate the origin of her personal wealth. The Croatian anticorruption inspectorate USKOK investigated Šuica's wealth but the outcome of the procedure has not been made public.
Political career
Šuica became active in politics in 1990, when she joined Croatian Democratic Union. In 1998, she became head of the party's Dubrovnik branch and she was re-elected several times, most recently in March 2012. In 2001, she was elected mayor of Dubrovnik for the HDZ. Out of the 46 percent of voters who participated in the election, 3,944 expressed their preference for the HDZ list headed by Šuica. She served as the mayor till 2009. Her mayoral tenure attracted several controversies, including with Croatian media, in regards to the growth of her personal wealth over the same period. She left office in 2009 and was succeeded by Andro Vlahušić. Šuica was elected as the member of Croatian Parliament on HDZ ticket three times in the 2000, 2003 and 2007 parliamentary elections. She held several positions in Croatian Parliament Committees. In 2004, she was elected one of the vice-presidents of the Congress of Local and Regional Authorities of the Council of Europe. She was reelected to that position in 2006, 2008, 2010 and 2012. In May 2012, Šuica was elected vice-president of the HDZ. She is also the president of the Foreign and European Affairs Committee of HDZ. In October 2012, she was elected vice-president of EPP Women.
In August 2019, Šuica was nominated as a candidate for European Commissioner from Croatia, and on 10 July 2019 President-elect Ursula von der Leyen assigned her the role of Vice-President designate for Democracy and Demography. She passed the parliamentary hearing on 3 October 2019 and took over her duty as Vice-President of the European Commission for Democracy and Demography, as of 1 December 2019. Sunčana Glavak replaced her as the MEP. In April 2020 Šuica called the localDubrovnik TV, in the programme Glas naroda to complain against a previous caller who mentioned the controversy about her income, but she did not detail which information she deemed incorrect. This behaviour was criticised as undue pressure on the media from a member of the European Commission.