The cloud has always been a term used to refer to the internet. Network controllers would refer to their local network and a gateway leading out into the ‘cloud’, meaning the area outside their control and responsibility.
Cloud computing refers to placing documents and applications out in that cloud. Services like Google and Microsoft make applications like word processors and services like document storage available to users over the internet. This has the advantage of making user files and applications available from any location. It does have security implications if it isn’t managed propperly and it also relies on available bandwidth.
Autodesk now provide a cloud service for designers called Autodesk 360. As registered users of the education community you have free access to this. The URL is https://360.autodesk.com (What does https mean?)
This video explains the service