The chimp is obviously experiencing everything that a human would, when presented with the same stimuli. This proves that living things with similar sense organs are going to have perceptions that are similar in nature. The only difference is that non-human creatures don't have the inner dialogue of language that accompanies human thought.
The brain of any "higher" animal is an extremely adaptable organ, capable of adjusting to new sensory inputs or modes. Placing a VR headset on a primate like a chimpanzee proves that they are just as capable of navigating an imaginary, virtual space as humans.
Here's another video, where it appears the chimp is already familiar with the VR hardware. It grabs for the controller with the headset already on, and goes right to popping virtual balloons.