After you tap on REVIEW MY CART, you will see the option to send your order as a Gift. Sending it as a gift means that a gift receipt will be used instead of a regular sales invoice. A gift receipt shows proof of purchase but leaves out the amount spent.
This doesn't mean that your order will be gift wrapped or it will come in special packaging. There is also no way to place a special message for the recipient. Orders made through COD (cash-on-delivery) cannot be sent as gifts.