Hi, my wife gave birth at HAMAD 2 month back, Husband are not allowed not only in the delivery room also to be with you your normal regular check up. but you can keep your sister in law with , it is ok. after delivery , if you are normal they will shift you to the ward around with in 2 - 3 Hrs, then your husband can see and be with you (until night 12 AM) till you discharge.
So dont worry, they will take care of you...

for the expenses and other related quires seethis link

http://www.qatarliving.com/life-qatar/posts/cost-deliveryg-child-here-qatar