I think your desire to see your boyfriend every single day stems from your insecurity that you’re sharing him with his other girlfriend, and that you may lose him to her. You knew what you were getting into when you started dating him a year ago, but I don’t think you realized the problems you would have if he didn’t break up with the other girlfriend and decided to date the two of you at the same time. I know you thought you’d win him over enough for him to dump the other girlfriend, but after a year of dating him, you haven’t been able to.
As long as he has another girlfriend besides you, and she’s been with him for five years now, if my math is correct, you’re going to continue to feel anxious. Your choice is to accept that you will never have him all to yourself because you’ve let him know it’s okay for him to have another girlfriend in addition to yourself, or to decide you’re a one woman man, and then move on to find someone who can meet those needs (which may be very important). Of course, I suppose you could continue doing what you’re doing for another year, but I suspect your anxiety is going to increase, and you’re going to start acting out on that anxiety, and it won’t be pretty.
You’re in a tough spot, and I’m sorry, but it’s time for you to accept or move on.