Unfortunately, we cannot, or will not be able to see the Big Bang. The simple reason is, it's just beyond our reach.

For the first few hundred thousand years, the universe was opaque.

This link goes into a good amount of detail about the first light in the universe:

https://phys.org/news/2016-11-universe.html

We might be able to see a bit closer to the events after the Big Bang with a more powerful telescope in the future, but I don't think we can ever be able to actually "see" the Big Bang.