You can see the syllabus on the page https://www.coursera.org/learn/galois#syllabus. I don't think the course overall was an information dump since many (not all) of the topics in it look standard. Galois theory is a pretty challenging course since so many new concepts arise and interact.
The parts of that syllabus I'd say could have been removed for an undergraduate level course are an in-depth discussion of inseparable extensions in week 3, the commutative algebra digression in week 4, properties of separable extensions via tensor products in week 5, and the proofs of the approach to computing Galois groups over Q using prime ideals and decomposition groups at the end. I can see from the syllabus why tensor products were introduced: they allow for slick and efficient proofs of some properties of separable extensions. Those properties have more elementary proofs, but such proofs can look a bit tedious by comparison. As for the computation of Galois groups using reduction mod p, the instructor evidently wanted to have a logically self-contained treatment justifying the method used, and that necessitates all the technical material on integral extensions and prime ideals in rings of integers of a number field. It is a lot to absorb, and at an undergraduate level I'd probably just state the result and show how it can be used, leaving the justification to a later course on algebraic number theory.
You wrote in you first commen that you first saw Kummer extensions in a course on local class field theory. That seems late to me. I heard about them in my first undergraduate Galois theory course (or at least they were in the textbook, which I read very closely). I think Kummer extensions are an appropriate topic for an undergraduate course if time allows, since they are closely related to the whole apparatus around solvability. I don't mean arbitrary Kummer extensions, but just the cyclic case.