You can book an award ticket entirely for someone else than yourself with almost any airline, so this is also possible with QR. I'm not quite sure if you can complete the booking online though, but I believe so.

Here's a nip from their FAQ: (http://qatarairways.zendesk.com/cate...lege-Club-FAQs)

Whom can I redeem my Qmiles for?
As a Privilege Club member, you can redeem your Qmiles to claim an award ticket for anyone; a colleague, friend or family member.


Snacky