//Long story short//
Person B, the one who isn't allowed on job searching sites, mans the desk most of the time doing normal front desk stuff, answering the phone, greeting people and directing to places, accepting packages, nothing out of the ordinary.
Person A mans the desk during a specific timeframe when they do like a "speed dating" version of job interviews, a bunch of people rapid fire, weeding out the people who don't deserve a full sit down interview. Person A has job searching sites up during this process to review these applicants.
No it doesn't make any sense to me either.