Hello there! Welcome to Wyrmrest!
Pretty much this. Different events are advertised including guild fairs and my guild’s server events. Story Circle, which will return Jan. 8th is open to Alliance/Horde/Neutral.
Here is a link:
I must also recommend the Wyrmrest Community Project. Alliance side has changed a bit the last couple of years and despite having more Alliance friends, I am not as well versed with how things go over there. I think the best way to make friends and connections would be to chat up the discord and go to events that interest you. As someone with anxiety, I find it is easier to find other people to attend events with.