" L' " is a pronoun, it stands for "him", "her" and even "it", Here it replace the word "poupée",
Here is a similar example:
- Aimes-tu mon gâteau ? (Do you like my cake?)
- Oui je l'aime, merci (yes I like it, thanks).
Keep "j'aime ça" for when you say things like "I like it when..."
ex. : J'aime ça quand tu me donnes des fleurs. (I like it when you give me flowers)