In vSphere Client 4.1, it is documented that to disable the Getting Started tab of VMs, you go to Edit -> Client Settings and untick Show Getting Started Tabs as noted below:

You can disable the Getting Started tabs if you do not want to display them.

You can disable the tabs in the following ways.

Click the Close Tab link to disable Getting Started tabs for the type of object selected.

Change the vSphere Client settings to hide all Getting Started tabs.

Select Edit > Client Settings.
Select the General tab.
Deselect the Show Getting Started Tabs check box and click OK.
However, mine was already unchecked – so I checked it, clicked OK, then went back into settings and unchecked it.
NOW the Getting Started Tabs are disabled.  =)