Usage patterns
〈人〉の人形になるto become someone's puppet (figurehead controlled by another)
The president is said to have become a puppet of the military.
〈人〉を人形のように扱うto treat someone like a puppet, with no will of their own
The company treated its employees like puppets.
人形のような〈物〉doll-like (appearance, face, etc.)
She has a doll-like face.