At one level, intuition is a sixth sense. At another, it is the 'I' or the divinity within which knows everything. If the divinity within is sufficiently developed, it is all-conscious and knows all things. At this stage, the whole being - on all levels of life - is perceptive.
I like White Eagle's teachings, but this book was so very esoteric that my two star mind was not developed enough to understand it -- other than this part: learn to meditate and do it frequently. (And perhaps if I did that, I would understand this book better!)