Does it mean "to look like", as in "The girl looks like her mother"?
It mostly refers to similarities in personality and behavior. When you want to compare outward impressions of people and things, use "ligner" ("looks like" or "resembles" - Pigen ligner kvinden) :)
Kvinde means woman BTW.
Why som and not lidt?
It's not about the feeling "like/love" that the girl has to the woman. The girl has a behavior or smth like/as the woman.