Depends upon the company. A girl's company is real nice. He will not get bored but will get more and more confident around you. Also each date is a new learning experience for him as much as it is for you. So there is no problem in hanging out with him all the time.
I've never heard of that complaint... I think he just wants to continue to get to know you. I would enjoy this time as much as you can. I don't think what would happen is him getting bored of you, but more comfortable with you. Sometimes I like to hang out with my friends and do nothing. We could just sit in silence and watch tv or take a nap together, haha. I don't care. I would do the same with a boyfriend. I think if he really likes you he won't get bored of you. He'll just get comfy with you, which isn't a bad thing.