Hi and welcome to the forum, and lovely to see you trying to establish a support group for your wife ( very important with a new bub)
yes, there are mum + baby get togethers. There are numerous coffee mornings and meet -ups at play centres at the malls. There are also activities such as baby massage classes, baby swimming and tot gym.
Here is a link with some activities available.
http://www.dubaikidz.biz/aboutus.html