Bulić was born in Vranjic (now part of Solin), and studied theology in Zadar and then classical philology and archeology in Vienna.

He withdrew from politics during the time of the Kingdom of Yugoslavia, after the Sixth of January dictatorship proclaimed by Aleksandar Karađorđević in 1929.

His archeological discoveries provided great contributions to the understanding of early Christian and Croatian history in Dalmatia.

He discovered a basilica within the local monastery which contained the buried martyrs Dujam and Venancije from the time of the Roman Emperor Diocletian.

Bulić published many articles and books, the most notable of which are: Hrvatski spomenici u kninskoj okolici uz ostale suvremene dalmatinske iz doba narodne hrvatske dinastije (Croatian monuments in the Knin area and Dalmatia from the age of Croatian national dynasties), Palača cara Dioklecijana u Splitu (Palace of Emperor Diocletian in Split), Stopama hrvatskih narodnih vladara (The steps of the Croatian national rulers).