Amazon Linux AMI does not support any GUI related stuff. In fact, its YUM repo does not even have packages that are even remotely related to GUI. Hence you cannot find the missing packages in the YUM repo of Amazon Linux.
Instead, You may want to try an CentOS/Fedora/Ubuntu/RHEL AMI which supports all the GUI related things. Although these are not configured Out-Of-The-Box, but you can certainly configure them manually.