In the series, the Wheel of Time is not the god figure, that is the Creator. It sounds like it is just a giant cosmic Wheel put in place by the Creator in its wiki article, but the common saying, "The Wheel weaves as the Wheel wills" suggests that it can think and act for itself.
This is confirmed by Robert Jordan in an interview (emphasis mine):
Does ta’veren-ness ebb and flow as needed? If Rand, Mat, and Perrin were all ta’veren growing up, it seems that the Two Rivers would have had a lot of odd events occurring, but no mention is made of it.
Robert Jordan: You might say that ta’veren-ness ebbs and flows. For one thing, remember that even for someone like Rand, the effects are really occasional, not continuous. Even when he is causing dozens of coincidences in a particular place, many more events pass off quite normally. For another thing, no one is born ta’veren. Rand, Mat, and Perrin only became ta’veren just before Moiraine appeared. You become ta’veren according to the needs of the Wheel. Like the Heroes linked to the Wheel, who are spun out as needed to try to keep the weaving of the Pattern straight, a man or woman becomes ta’veren because the Wheel has “decided” to use them as an influence on the Pattern. And, no, the Wheel isn’t sentient. Think more of a fuzzy logic device that uses feedback to correct what it is doing in order to do it in the most efficient way.
The saying "The Wheel weaves as the Wheel wills" is just that: a saying. Much as we might answer a question with "Goodness knows", without meaning that the attribute of goodness is sentient.