What Can a User See on My Agent?

Exactly what you let them see. Open the agent, go to Access → User Permissions, and flip the eight switches.

Setting	Show means they can see
Show Instructions	The instructions the agent follows
Show Model	Which model it runs on
Show Connectors	The apps it can use
Show Skills	The skills it can use
Show Knowledge Sources	The knowledge sources it can search
Show Subagents	The other agents it can call
Show Secrets	The names of its secrets
Create triggers	Not visibility — whether they can create their own triggers (Allow / Don’t allow)

Owners always see everything.

Two things people get wrong

Show does not mean edit. A User can read the instructions when Show Instructions is on, but only an Owner can change them.
Hide does not mean off. Hiding Connectors does not stop the agent from using Gmail; it just does not list Gmail for Users.

A support agent everyone in the company can use, where the prompt is yours to tune:

Can I set this per person?

No. The settings apply to every User on the agent. If one person needs more, make them an Owner.

What are new agents set to?

Every visibility setting starts on Show and Create triggers on Allow, unless your org admin set different agent defaults.

Can a User see files and artifacts?

They see the artifacts from tasks they can see. That follows Task Visibility and File Sharing, not these switches.

Full reference

The trigger switch in detail