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None of our base images include a GUI by default but by using a user-data script you can automate the setup of one.

^ This link will let you create an Ubuntu 16.04 server and will install and configure x2go and an XFCE desktop as soon as it boots. I prefer x2go since it runs over ssh and supports ssh-key authentication by default.

These are servers, so you most likely won't get a GUI.

Could definitely set up some script that goes and sets up a gui from a package repository - but the other comment is right, virtualbox is way better for this kind of thing.