This question comes up nearly every day. Busy time of year, I guess. Life on eBay is easier when you register, but for now here is my stock answer about viewing a guest order. From eBay's info pages it says,

This link here says:
You can buy some items without registering as an eBay member, by using Buy It Now, and you can see your order details by following the link in your confirmation email. On the order details page you can see your purchased items, shipping status, and tracking numbers, return an item or report that you didn't receive an item.
http://pages.ebay.ca/help/buy/buying-as-guest.html
If you would like to register:
http://pages.ebay.ca/help/account/how-to-register.html#steps