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One advantage of the lightweight Windows 8 Mail client is that you can configure it to show only recent messages. Click Settings and choose your Gmail account to see these options.
The default setting is 2 weeks, although you can adjust that to a few days, a week, a month, or your entire mailbox. Note you can also create a custom signature.
One big advantage of the Windows 8 app model is that it allows apps to share information with each other, using the Share API. In this case, I've opened a web page in the Windows 8 version of Chrome. I then used the Share charm to choose Mail, which opened this pane on the side with a link and thumbnail entered automatically.
Enter a recipient name, add some message text, and click or tap send. If you have other Windows 8 apps installed, including Twitter and Facebook clients, you can use them to share as well. If Google opens the Google+ API, it would make sharing possible via this route as well.
Third-party apps can support other Google services. In the Windows Store now, you'll find multiple clients for accessing feeds from Google Reader in a touch-friendly visual way that doesn't require a browser. This app is a bargain at $2.99.