Q: Is this a private cloud? AWS said it doesn't believe in private clouds.
A: Yes, despite AWS' protests to the contrary, this is a private cloud. According to the documents that have thus far been made public from this proposal, the CIA is looking for a cloud service (an Infrastructure as a Service) offered on a dedicated set of resources isolated to a specific customer and deployed on CIA-owned resources from within a government owned and operated facility.
Q: Would this be AWS' first private cloud?
A: Yes and no. Yes, it would be the first implementation of the AWS services atop a customer-owned infrastructure and facility asset base. But no, it would not be the first time AWS has delivered an isolated environment offering its services. AWS's GovCloud is also a private cloud for the greater US Government. FedCloud is operated from an AWS-owned facility on AWS owned assets.
Q: Is this a community cloud? What's the difference between that and a private cloud?