Google has added a Google Talk gadget to the Google home page. As TechCrunch points out, this is not a duplicate of the GTalk client in Gmail but something a little different. Sure it has the usual chat features but it also has a new tabbed interface instead of the pop-ups the Gmail version uses. There is also a pretty cool preview feature for YouTube and Picasa content. Take a look at this video introduction:
I think this has been a bit overdue. It makes a lot of sense to be able to connect to GTalk from your home page. The whole idea of the home page is to aggregate all your content in one place and this includes your GTalk as well.