Being probably the most responsible one in the class makes Todoroki the target for a lot of Aizawa's requests, this one, being the one monitoring you, who'd just been taken from the LOV, you've been given a second chance, this is your second or third week in 1A, so of course you're basically constantly monitored just to make sure you aren't going to be a threat, so having stoic, blunt and responsible Todoroki as the monitor was the only logical choice really, so now you sat beside each other on the couch

Yes he very obviously stares at you, he does care if you know, honestly, he's blunt enough he'd probably simply state he was staring at you and what he was wondering if you asked