Hi there,
I've checked what it does and it's the typical "send to a friend". It is not to do presents...
If you click it asks you what name and mail to send. After that the person receives this email:
There is an option in prestashop that allows you to to envolve as present the products:
For that, you have to go to "Shop parameters > Order Settings" and there you will find it:
Once you activate it, the customer will be able to chose the option to send as a gift in the shipping page:
I hope this is useful for you. Anything we can stay in contact.