Starting after Update 1 for VCenter 6.0 you are able to update your Vcenter from the Web Interface. Unfortunately for me, I have pre-version one installed so I need to update via SSH.
First step is login via SSH to your VCenter as the Root User using your SSO Administrator User and password
Next you download the Update for your VCenter from here.
Once the update is downloaded, you will need to mount the ISO to your VCenter VM.
Then we execute
software-packages install –iso –acceptEulas
The update will inform you when completed and instruct you to reboot