Should I be upset? Would you be?

I have been dating someone for about a month now, and as far as I know, things are going great, until the other day when my friend informed me that he is on a dating site, and still checking his profile every day. In all fairness he has not asked me to be his girlfriend but he gets upset if he thinks I am talking to other guys. I dont know whether to be mad or cry! What would you do???