Before reading this guide to buying gold and silver in Doha, Qatar, please first read the basic guide to buying gold and silver.
The bullion precious metal market in Doha, Qatar is quite small and as a result you wont be able to purchase silver bullion and the best prices for gold bullion was in the most unlikely place, foreign exchange companies. The qatar gold price and silver price in qatari riyals (QAR) is published almost daily in The Peninsula, in the ‘Market’ page of the ‘Business’ section and can be seen online in PDF format. The majority of gold bullion for sale is minted by swiss refinery, Valcambi SA.
Doha’s main jewellery and bullion market is located in the Old Al Ghanim district, close to Ali bin Abdullah Street and is called the Gold Souk/Market. The Gold Souk is located right next to the main Doha Bus Station, which makes it easily accessible to those who choose to use public transportation. The Gold Souq consists of a number of buildings containing jewellery shops, including Doha Gold & Jewellery Souq and Saud Souq. With the plethora of jewellery shops, most of them do not sell bullion because, as one shop owner stated, they cant make as much money off of it in comparison to jewelery. So it turned out that the two nearby money exchange companies were the primary source of bullion, Al Fardan Exchange and Gulf Exchange, and had the best prices. Al Fardan Exchange sells 10/20/50/100 gram, 1 oz (31.1g), 1/2 and 1 kilogram and 1/2/3/5/10 tola (1 tola = 11.66g) 24 karat bars and 8g Gold British Sovereign 22 carat coin, which are available at their gold purchasing counter (counter 6). Gulf Exchange has a similar selection of bullion for sale and a dedicated counter for bullion purchase, which unfortunately isnt open on Fridays.
Though not the best priced places to buy bullion, there were a few jewellery shops in the area that had bullion. Al Safeer Jewellery  has 10/20 gram 24k gold bars (QAR 80/150 premiums) and 7.2 gr Turkish 22k coin, Haya Jewellery  has PAMP (10g had QAR 85 premium) and Valcambi gold bars, 2/4/8 gram Gold Sovereign coins, 7.2g Turkish 21k coin, and 8 gr Saudi Arabian 22k coin, and Mumtaz Jewellery  has a wide range of PAMP gold bars (10 to 100 grams).
One good thing I noticed with Al Fardan Exchange is that they publish their gold product rates in plain view on the glass of the counter, and they seemed to be fixed rates for the day. Unfortunately, I didn’t find any exchange/shop selling 1/2 kg or 1 kilogram gold bars, with the largest sized seemed to be the 10 tola or TT (116.6 gram) bar.
Note: This information was gathered in a short time period and I would like to expand on it with any information people contribute.