I'm often asked on my blog where to buy a burqa in the UAE. As you know, burqa is not a very popular accessory nowadays. Very few Emirati women still wear it. You can't easily find burqas in the shops, because they are not in demand. Local women usually get their burqas from other women, who make burqas at home. If you don't know any Emiratis who could get you a burqa through their relatives or friends, then you could try one of these shops in Dubai:
In this video about traditional weddings you can see older Emirati women wearing a burqa
Nowadays a burqa is a disappearing traditional accessory.