Sending a product on the Apple Store as a gift to a friend?

I want to make a purchase from the Apple Store as a gift to my friend. The purchase is a physical item (e.g., iPhone), rather than an app to download. Because I live far away from her, I want to use my Visa credit card and send it directly to her address with the option of "Gift" selected. Would that be possible? I will be using her address instead of mine. So, what would the transaction look like when I check my Visa transactions at my bank? Would her name appear on the transaction? Would I still be able to send it to her directly with her information, or do I have to send the package to myself, and send it to her after that?