Are bars and clubs basically the same thing?

I've only gone to the club twice and both times were with friends. My boyfriend didn't want me to go and it took me forever to finally have him agree to let me go. (I'm 20)

Well now that he just turned 21 he's been wanting to go to the bar. I told him I don't think it's fair that he doesn't like it when I go to the club but he wants to go to a bar. He did go on his 21st birthday because that's kinda big birthday, but he went with his Dad.

So what do y'all think. Do you think they're two completely different things or pretty close to the same thing?

Btw I use to the word "let" because it's for respect. If he absolutely doesn't want me to go do something then I won't go because I respect him. Same goes with him, if he wants to go do something but I don't want him too then he won't. Please no one come at me for using the word let.