In-game notification about "game XYZ just releashed a new annoucement..." : how to read it in the SHIFT + TAB Overlay?

Solution 1:

Clicking the notification should open the page with the news, as you suspected. It doesn't always open in the overlay browser though, and also may not always take you to the proper news page (though Valve has recently revamped the news pages and they seem to work better now with less unrelated garbage articles).