You'll be able to view your collection of gifts via the "My Gifts" icon in the Flash application header bar.  A pop-up will show the gifts that you have received, with the most recent gifts shown first. Click on an object's icon for a larger view of the animated item.  A number layover in the upper left corner of the icon indicates the number of a particular item that you own.  Mousing over the icon will display the item name and sender(s).