It's common to say “I see” when we understand something. And indeed, “seeing” in the Bible represents grasping and understanding spiritual things. So it makes sense that the eyes, which allow us to see, represent the intellect, which allows us to understand spiritual things. This can also be used in the negative, of course; the Bible speaks of people having eyes and refusing to see, and the Lord when He was in the world advised plucking out an offending eye. These represent a refusal to acknowledge truth, or being misled by falsity.

2150. 'And he saw' means when He recognized this. This is clear from the meaning in the internal sense of 'seeing' as understanding and recognizing, and also of becoming enlightened, dealt with in 1584. Nothing is more common in the Word than for 'seeing' to have such meanings Here the meaning is that He recognized the presence of perception from the Divine, as just stated.