Danielle, the way the World Wide Web works isn't going to allow that to happen. When you download a page from a web server, you get whatever is there at the moment you downloaded it. After that, although the page may have provision for YOU to edit it, all the editing you are doing is only in your own computer until you click a button to send the page back to the server with your changes. If you don't click that button, the server does not know anything about whatever you may have done to the copy of the page that is in your computer.
For that reason, no changes you make to a page you have open in another tab will automatically make any changes to another page you previously had open. When you click the refresh button on that page, it will download a fresh copy from the server, which will include the effect of any changes made to the database since the last time you downloaded the page.