iTunes Connect provides an area to view all application downloads and purchases. Using the interface they provide, you can change what details you view, and for what duration of the sales period etc. These details on not real time.
Please note that these analytics do not cover free in-app purchases (only free subscription, paid auto-renewable subscriptions and paid in-app purchases). It also doesn't give any details about issue downloads. To get that information please see the analytics pages on your publication homepage.