There is a balance to this. If you always only listen to others and never speak about yourself, you fail to build connections with them (because they know nothing about you). I had the opposite problem, I made every conversation about them and had to learn to change that in order to be able to make friends.
There are different ways to talk about yourself; the one that attracts me when spoken to enough to seek friendships and relations is the one where the words 'I' and 'me' don't appear in very often. Like 'let's go to that AI meetup, gonna be great!' is an indicator that a) you like AI b) you want little ol' me (blush blush) involved. There is no boasting, no #iamthemaincharacter etc.
But you are right; there is a balance, people that only ask about me and don't tell anything about themselves won't work either. Personally, the preferred route is to just quickly find common ground and go do something. Can be anything.