Most Helpful Guy
Seems like he likes you. Some guys look but never approach for a variety of reasons. One is that he's your manager and unless you work in an environment where he doesn't care about his job, he may never act. Maybe he's already got a girlfriend and just looks at you from afar, who knows. If you like him, you'll have to break from your shyness and talk to him. You work with him, so you should be able to say something work related and then break off into someone more personal or maybe make some jokes or show some playful sarcasm. It's really up to you considering the position he's in at the moment being your manager.
Most Helpful Girl
I think you likes you. Once there was a guy who I would also always catch staring at me and he would never come up to me, and I'm shy as well so I was scared to go up to him but one day I built up the courage to walk up to him and I was about to talk and he ended up asking me out and admitting that he has had his eye on me for a while. So your manager is for sure attracted to you physically, I suggest building up the courage to talk to him. I'm not sure what I would say but maybe ask some of your friends and come up with the perfect plan to get you guys together!