You see the Overview, Planning, Rules, Conversations, Activity, Insights, Connections and Settings tabs; your agents can work on the project, and you can change its hosting and database connections: the credentials you save apply to every member, so the owner's agents use them too.
You do not see Managers, and the SyncNow server does not give you the member list. You cannot invite managers, revoke their access, change roles or handle pending invitations. Like the owner, you can remove the project for everyone, with Remove project in Project settings or in the ... menu of its row, and you can also just leave it; Project settings shows your role as Manager.
Like the owner, you can see a stored hosting or database password after typing a code sent to your email. To stop working on the project, see How do I leave a project I was invited to?.