On my boyfriend's birthday, I went to see him with a gift. He was very happy, but at dinner, he said that his birthday should be my treat, although

If I were you, I would take the initiative to invite him to dinner. I think birthday parties should just wait and enjoy it. Why do you care so much about who pays? If you do this, you will leave a bad impression on your boyfriend. Needless to say, you won't pay for dinner or anything. Is this really good? If it were me, I would feel uneasy. One day he will really leave you.