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4. Can I show ads on more than one site?
Yes, and you don't even have to let us know because we'll automatically detect new sites that contain the AdSense ad code. The HTML code we provide you with is valid for any page in any site on which you want to display AdWords ads. However, you may only display AdWords ads on sites that you own or on sites that you are legally authorized to act on behalf of for the purposes of Google AdSense. We also monitor all sites in AdSense to ensure that all pages displaying AdWords ads comply with our program policies.
You can find the FAQ here: [google.com...] It is well worth a good read-through, and it tells you what you can and can't do, along with answers many questions about the program.