This is the 7664th most frequent French word.
rob
"Rob" in French refers to a concentrated fruit syrup or juice.
Here, 'voler' is used in the sense of taking something illegally, i.e., robbing.
Le voleur a tenté de voler la banque.
The thief attempted to rob the bank.
In this case, 'voler' figuratively expresses an emotional effect, akin to capturing someone's heart.
Cette chanson m'a volé mon cœur.
This song has stolen my heart.
'Voler' here means to take someone's intellectual property or ideas without permission, metaphorically akin to robbing.