How to talk to boyfriend about his female friends and set boundaries?

My boyfriend (25M) and I (22F) are in a serious relationship for the last 9-10 months. He is an extrovert and has many friends. He's quite active on social media and he has a lot of female friends too (or at least that's what he tells me). But he has never really told me in detail about the girls he talks to/ is close with. Like how did they become friends, what they do etc etc. I've noticed that he also likes telling me (bragging) about how much attention he gets from girls on social media or otherwise. He sends me screenshot if a girl sends him a DM and he'll be like, wow look at this. He probably does that to make me jealous (He had mentioned once that he likes it when a girl is little possessive about her boyfriend). But I find this a little immature and it's frustrating when he goes on and on just to get a reaction from me. I usually just ignore him when he does that. Now that we've been in a relationship for quite some time, I would appreciate if he can tell me properly about his "female friends". And not just randomly take someone's name and then shrug it off and say it's nothing. I also can't help wondering if he has told other girls that he's not single. Lying about your relationship status counts as cheating to me and that would be a dealbreaker. So how should I nicely bring up this topic with him and set some boundaries? I trust him and love him. So I don't want him to think that I'm being controlling or something. I'm just curious about the girls he talks to and how personal and frequent are their chats really? And is he really friends with so many girls or he's trying to make me jealous?
How to talk to boyfriend about his female friends and set boundaries?
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