Actually, there is no way to load a webpage ( whose link was in another webpage loaded into the sidebar extension ) onto a new tab in the browser. The only way is to use javascript. That has to execute under privileged conditions ( meaning as part of an extension ) like below:
gBrowser.addTab("http://www.google.com/");
EDIT:
The above technique of adding a browser tab did not work in this case. According to this article code running in the sidebar does not have access to the main window. So first up I got access to the browser window before using gBrowser. Here is the code taken from the website that I used and works properly:
var mainWindow = window.QueryInterface(Components.interfaces.nsIInterfaceRequestor)
.getInterface(Components.interfaces.nsIWebNavigation)
.QueryInterface(Components.interfaces.nsIDocShellTreeItem)
.rootTreeItem
.QueryInterface(Components.interfaces.nsIInterfaceRequestor)
.getInterface(Components.interfaces.nsIDOMWindow);
After I got access to the browser window I accessed gBrowser through the getBrowser function like below:
mainWindow.getBrowser().addTab("http://www.google.com/");
The opens up a new tab in the main window browser.