Actually the title is somewhat incorrect. It is what the
universe looks like now, except that some of the light has been
traveling for 13 Billion years to get to the Hubble deep space
telescope.
These are the latest pictures of the universe's early day
that have been released. The farthest galaxies are the red
ones (due to red shift) and we see them as they were only 600
million years after the big bang. With the current estimate of the
age of the universe being 13.7 Billion years, this means that we
have gone (are viewing objects) back 96% of the way to the
beginning of the universe.
Scientific American article
https://www.scientificamerican.com/gallery_directory.cfm?photo_id=6FB7880C-9F1E-88E3-B8EABBEAF59E4D6E
Hubble article:
https://hubblesite.org/newscenter/archive/releases/2009/31/
Hubble biggest downloadable image:
https://hubblesite.org/newscenter/archive/releases/2009/31/image/a/format/xlarge_web/
Enjoy the view.