Broadband is available here. I must admit this whole area leaves me feeling
so have a look at www.adanet.az
for some options. I have found the reliability to be generally good.
A word of caution though - you can be constrained by the telephone link between your apartment and the ISP. I can only receive a 16.8k connection at my apartment purely because of the telephone company. In other apartments I used exactly the same ISP but a different telephone company and connected at >50k!! I have never understood why this is.
The pink elephant is a fine restaurant but you should also try Baan Thai at the top of the ISR plaza. Its a bit more expensive but theres more on the menu and as its at the top of the building you can look down on Baku as you are eating.
Its starting to heat up here now so by the time you arrive it should be getting into the 30's. Bring your sunglasses!