I looked at the documentation:
In Unity or Fullscreen mode
Once you've run a VM in Unity, the .vmwarevm bundle should have a folder named "Applications" that has small helper applications representing guest apps. If you open one of these, it should start the guest program (after powering on the VM and switching to Unity, if these have not already been done). You can also put them in the Dock. So to start in Unity, just start the VM via the helper app you want to use.
And, from that I do not see an applications folder if you use full screen mode. But, as soon as I switched to Unity mode, I saw an applications folder with whatever app I was running.
So, based on that, I put the app in the startup folder on my mac and it did start up but in single window mode.
So, it does not look like it is working as described, either in unity mode or full screen...I cannot even figure out how to autostart in full screen.