My boyfriend wants to show me off to his ex gf and prove to her that he has someone better than her. Is it right?

His ex dumped him for another guy but told him that he could never get anyone as good as her. I have been with him for more than 6 months now but I sometimes get the feeling that he is still not over her. He wants me to meet or talk to her and show her that he has got someone better and that she is at loss. I’m not sure how to handle it. Is this normal or he is hoping for his ex to realize her mistake and come back begging to him?