acquire a taste for
US /əˈkwaɪər ə teɪst fɔːr/
UK /əˈkwaɪər ə teɪst fɔːr/

1.
to begin to like something, especially something that you did not like at first
:
•
I used to hate olives, but I've slowly started to acquire a taste for them.
•
It took me a while to acquire a taste for classical music.