"To conduct the hearing" means to oversee or manage the proceeding or event where evidence and arguments are presented, and a decision or judgment is made, typically by a judge or a panel of judges. Full definition
The hearing officer shall conduct a hearing on whether an animal shall be declared potentially dangerous to other animals, potentially dangerous to humans, dangerous to other animals, or dangerous to humans. (samthedogtrainer.com)
I have conducted hearings in rooms with an elevated desk and in rooms without an elevated desk. (slaw.ca)
The groups say they want lawmakers to conduct hearings into the statements attributed to the union presidents in the videos. (jerseycan.org)