I believe it's actually a "Google profile", although it got a lot of attention around the time of the Plus push.
At that time, Google cajoled and borderline tricked people into filling in their profile (e.g. "dark patterns): Name, a profile photo, etc.
They also made this information publicly accessible.
I recall, for a while, actively working to navigate all the Google UI dedicated to prompting me into filling out or supplying this information. (Particularly, I recall the photo part -- no thanks.)
I recall, also, a time or two following suggestions to navigate to my profile and check what was on it and whether it was public.
This all blurs together in my mind, somewhat, to similar efforts to fight the morphing Facebook UI and its attempts to gather and publicize my profile data. So, all the details are a bit vague in my memory, now.
Note, too, that you can -- or could, at times -- provide information regarding contacts that would appear in your own UI views. You could/can upload a photo for whatever contact, so that their presence in the UI is more "recognizable to you". And who knows.
Do I trust Google segregation/isolation of all these possible inputs to the profile-esque data it has on someone? Not really. Even where this isn't intent or malice, the various moving pieces of all their morphing projects seem rife for lack of knowledge as to effects, slip-ups, and neglect.
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P.S. Reading other comments here is causing me increased concern, on multiple fronts. What Docs (or "Drive" -- whatever) may pop up for an address you start to share to. Whether bcc addresses are "hidden" but not removed from the copies going to other recipients. Etc.
P.P.S I did a quick test and am not observing the bcc leakage. As I replied elsewhere in this thread:
I just checked this and am not observing it -- at least, not between various Gmail accounts and checking/dowloading the "original message" using the Gmail web UI.