1000$ a month would be roughly Qr 3,700 . You should be able to find a sharing accommodation in a two bedroom apartment with one room for yourself. The single room bedroom apartments are not that easy to find and the good ones are generally above your price range.

It's not going to be very easy as a single female to find the accommodation in advance.( Bachelor ratio is highly imbalanced with regards to men and women, and mixed accommodation is illegal.) Try your luck with some of the classifieds in QL or post one yourself.

Also most companies tend to provide hotel accommodation at least the first 10 days or so. Try to negotiate with your company about it. Good luck.