zavoleti

1. (+ acc.) to come to love; to grow fond of
   Brzo sam zavoleo Beograd. — I quickly grew to love Belgrade.
   Deca su odmah zavolela novu učiteljicu. — The children took to their new teacher right away.
2. (romantically) to fall in love with
   Zavoleo ju je čim ju je video. — He fell in love with her the moment he saw her.

Takes the accusative (zavoleti nekoga); for "fall in love" "zaljubiti se u + acc." is more common.