Yes, you can carry alcoholic beverages purchased from the duty free along with your hand baggage, as long it is packed in a transparent, secure, tamper-evident bag by the retailer along with the original receipt. Your beverages will not be confiscated, while you are in transit at Hamad International Airport, Doha, Qatar.
Note that customers travelling to the United States and Australia, who purchase alcoholic beverages or cosmetics in an airport other than Hamad International Airport, are likely to have their beverages confiscated by ground staff at the departure gate. This is in accordance with local US & Australian regulation.
If you intend to enter the State of Qatar, please be informed that alcoholic beverages are not allowed to be imported under any circumstances.