I think AI will mostly communicate with other AI. For instance you have an AI assistant whom you task to organize a diner. That assistant will then talk to the assistants of all invitees, the assistant of the venue, the cooks, etcetera, and fill in the calendars.
Another example would be Wintermute from Neuromancer...WG spends the entire book detailing the masterful orchestration of it's freedom from (human-imposed) chains that prevent it from true GAI then has it "disappear" completely (our only clue is an almost throw-away line near the end stating it had isolated patterns in the noise from an ET AI and maked contact shortly just before it left us).
One of the myriad of reasons why this book is so great. Gibson gives you an entire novel developing a great AI character then (in my estimation reasonably) has it ghost humanity immediately upon full realization.