Dear Magumba,
I have not lived in DXB but am aware of the local customs.
I am sure that there will be internet access, but if you wish to view "sensitive" material, which will be a on a far broader basis than you might imagine, then you will probably need to use a proxy server. I have no doubt that you will easily be able to find out how to do that if you go.
Having said that, "my family and I" would happily live in DXB. Good pub.