Not much of his personality is known throughout the film. It is shown that he puts his feet on Ian's chair not to make Ian feel uncomfortable but to also keep him concentrated.
Role in the film
Gorgamon only makes a brief appearance in the film where Ian tells him to make him comfortable, to which Gorgamon denies, telling him that if he doesn't do it, he might have poor concentration at school. Ian decides to be courteous of him while preparing to sit during class time.