This is the 11977th most frequent Turkish word.
gitmeyi
"Gitmeyi" means "to go" (in the infinitive form, accusative case).
In this sentence, 'gitmeyi' ('going') is the accusative form of the noun derived from the verb 'gitmek' ('to go'). This form is used because the verb 'sevmek' ('to like') requires its object in the accusative case.
Sinemaya gitmeyi seviyorum.
I like going to the cinema.
Here, 'gitmeyi' ('to go') functions as a noun phrase and is in the accusative case, which is required by the verb 'unutmak' ('to forget') to describe the forgotten action.
Okula gitmeyi unuttum.
I forgot to go to school.
In this example, 'gitmeyi' ('going') is again in the accusative case, being used as the object of the verb 'tercih etmek' ('to prefer'). It shows an action presented as a choice.