Diagrams will usually be displayed to operators in live mode, which hides all of the toolbars, properties panels, palettes, etc. shown when editing a diagram. Operators can even have permissions set so that they can only view diagrams this way, and not in edit mode.
Once a diagram has been created and saved once, the 'View Live' link at the top of the page will be enabled:

Clicking that link will open a new tab, showing the live view of that diagram at a URL like http://www.yoursite.com/staticdiagram/{diagramid}. That URL can be bookmarked and opened in any browser where a user is signed in, provided that the user is in the Diagrams role and has view permissions to that diagram.
When viewed in live mode like this, diagrams don't show the grid and configuration options available in edit mode:
