In day to day use, there's very little difference in the practical use of git vs. pijul. You edit files, commit then push. Of course the user interface is different and some of the terminology is different but it's still a distributed version control system.

As for the differences, the advantages are listed right there on the front page: commutation, merge correctness, first-class conflicts and partial clones.

Explaining these in more detail in a short example ("a blurb") is not really easy because you'd have to first set up an example three way merge (for example) and then study the behavior of git vs. pijul in detail. I recall seeing a video presentation from the Pijul authors which delved deep into this if you're interested.

But I'll give it a go anyway...

tl;dr: pijul can handle certain merge situations automatically where git requires you to manually resolve them