Because the big bang was initially so hot, it was also opaque to light. The universe did not cool down enough to become transparent to light until an event called recombination, which took place about 370,000 years after the Big Bang. This means we can't see (in "lookback time") earlier than that.
The radiation which bathed the universe at recombination time has since been stretched out in wavelength as the universe expanded and now resides in the microwave band of electromagnetic radiation. We call that "fossil radiation" the cosmic microwave background or CMB. This "afterglow" of the big bang is coming at us from all directions and its origin is behind all the most distant galaxies we can see today.
Neutrinos were generated in copious amounts before recombination, which means there are fossil neutrinos coming at us from times earlier than recombination. If we had some way to make images of that neutrino bath, we could then see farther back in time- but alas, even the best neutrino detectors we currently have are not sensitive enough to detect them.