If by “see”, you mean directly, quantum gravity doesn’t really help. The earliest time from which we can directly detect light (of any frequency, from radio through gamma) is about 300,000 years after the Big Bang, far after the Universe was governed by quantum gravity. With gravitational waves, we could see much earlier, to around the end of Inflation, but even that’s probably after the quantum gravity era (though there’s the possibility that Inflation was a quantum-gravitational phenomenon, and its end would therefore require a theory of quantum gravity to properly understand the data).
If you mean theoretical extrapolation, a working theory of quantum gravity would presumably take us all the way back to t = 0. Or, at least, if there’s some other limitation, we don’t know yet what would cause it: Doubtless, someone will eventually come along and point out shortcomings in quantum gravity, just as a bunch of guys with German accents pointed out shortcomings in Newton’s theory, a century ago.
Note that I referred to a “working theory of quantum gravity”, there. That’s still a hypothetical, since we don’t have such a theory yet. M-theory (aka string theory) shows some promise, but it still has a ton of free parameters in it. Basically, anything you might want to predict, there’s some variation of M-theory out there which will predict it for you. So the problem right now is not that it can’t make predictions, but rather, that it makes too many of them.