Direction of electrical information flow in the brain (and output locations)
As @AliceD pointed out in her comment, the concept of output of the brain is too broad. If you are interested in how eye movements are generated, I suggest you read about the frontal eye fields(FEF). This area of the prefrontal cortex is very closely related with the generation of eye movements, or saccades. However, its function is still not entirely clear. It participates in the generation of saccades, but also in the sensory processing and decision making.

Anatomically, the connections of the FEF are shown in the scholarpedia article I linked above, but I'll also copy it here.



Your question, however, seems to assume that the information in the brain has a definite bottom-up direction, which somewhat neglecks the fact that brain regions have abundant recurrent and top-down connections. This is part of the reason FEF is involved both in motor, perceptual and higher cognitive processing. Nevertheless, you should take a look at the motor cortex, that will give you some insight to which brain regions are associated to motor commands, i.e. outputs.