The Page Alias should allow you to do this. You can also use the Scrapbook.
Create a page alias (using the Sitemap, drag-n-drop) where you want the 'realtime' copy of the whole page.
If you only want a copy of the Content block, once created, copy it to the Scrapbook and add where needed.
No. Pages aliases will work just as if they were real pages under a different place.
Also, when using Scrapbook, other than the admin's, you can create an Alias when copying to the Scrapbook and paste the alias where needed.