Gerunds and infinitives are often used after certain verbs as the object of the verb. Depending on the verb and meaning, the object may be an infinitive or a gerund:

He hopes to see the Eifel Tower when he goes to Europe.
I remember writing on the wall as a child

Some verbs are always followed by the infinitive:
In spite of the difficulties, she decided not to give up.
I really want to go to that new Italian restaurant on Elm Street. I hear it’s great.