What a board of judicial conduct is at a given college or university will depend on that specific school. A board of judicial conduct may adjudicate a Title IX sexual misconduct case. They may adjudicate an academic integrity or academic misconduct case. They may adjudicate a general disciplinary case. Often, there would be different boards of judicial conduct or hearing panels, that is, for the specific offense or a specific nature of the offense. So, it can vary. An experienced attorney advisor will help understand your school's processes, and can help navigate the process for an accused student, and can potentially help allow for the most favorable outcome.