Answer:
Cuando era niña me gustaba _X_ peinar a mi papá.
No reflexive pronoun is needed.
Explanation:
In this sentence, you do not need any reflexive pronoun. It would be grammatically incorrect if you add one.
Reflexive pronouns are used with reflexive verbs in Spanish (such as peinar<u>se</u>, maquillar<u>se</u>, lavar<u>se</u>) to indicate actions that are performed on oneself. That is, the subject and the object of the action are the same. However, in the sentence <em><u>Cuando era niña me gustaba peinar a mi papá,</u></em> the subject is "yo"<em> </em>and the object is "a mi papá" ((<em>I liked brushing my dad's hair)</em>. Therefore, as the subject is not performing the action on himself but on another person, you do not need to use a reflexive pronoun.