It's a common and polite way to express affection or interest in someone.
Here's a breakdown of the words:
* Gosto: I like (verb "gostar" in the first person singular)
* de: of/from
* você: you (informal)
Note: "Você" is the informal form of "you". If you want to be more formal, you would use "eu gosto de si" or "eu gosto de ti" (both meaning "I like you").