Conjugation verb
No me gusta cocinar. Do you conjugate the 'cocinar' since its an -AR verb?
4 Answers
No. "Cocinar" is the subject of your sentence and should be in the infinitive.
A useful thing to do to understand how "gustar" works is to think of it as "to be pleasing" because that way the English and the Spanish subject will match.
If you say "I like cooking" here "I" is the subject and "cooking" the object. But in Spanish is different, cause as Jellonz mentioned, in "Me gusta cocinar" "cocinar" is the subject and "me" the object. If you say "cooking is pleasing to me" "cooking" is the subject.
I hope this help you!
I said it before, and Shameless mentioned it in this thread, forget about "like". Think "To be pleasing to". It sounds awkward in English, but it works.
"This cat is pleasing to me." "This food pleases me." "SD is pleasing to me." "Hiking (To go on a hike) is pleasing to me." "Is ham flavored ice cream pleasing to you?" "Is the school pleasing to them?" "To whom (a quién) is pleasing hot chocolate?"
It will be a long time before the RAE will accept "likar". 
To add to what has been said here: Whereas English uses the gerund, i.e., "cooking" as a subject, Spanish uses the infinitive form. --"Cocinar"
