It's a common question used to inquire about someone's interest in storytelling, either as a writer or a reader.
Here's a breakdown:
* Te gusta: This is a phrase meaning "Do you like..."
* escribir: This means "to write."
* o: This means "or."
* leer: This means "to read."
* cuentos: This means "stories."
So the whole phrase means, "Do you like to write or read stories?"