verlieben means “fall in love with someone”

More examples

Beim Reisen verlieben sich manche Menschen in fremde Kulturen.

While traveling, some people fall in love with foreign cultures.

Affection gradually shifts from ordinary interest to an intense romantic attachment focused on one person.

lieben: To feel deep, lasting love for someone.
mögen: To feel fondness for someone or something.

Eine romantische Zuneigung zu einer Person empfinden, die allmählich das Interesse und die Gefühlslage verändert.

German formed verlieben from lieben with the change-of-state prefix ver-, and the reflexive form describes entering that emotional state.

The process is expressed by sich verlieben, while the resulting state is verliebt sein.