This might be a confusion around a cultural translation. "The Greatest Resume I've Ever Seen" is referring to an American "Resume" which is what we call our CV (Curriculum Vitae). In the US we use the word "Resume" to describe this 1-2 page document that outlines our skills, job history, and qualifications in order to apply for a job.
So for example in the post, this is the Resume/CV that they are referring to: https://dsresume.com/
So it isn't referencing the verb "to resume", but is instead referencing the noun "Resume", which is an American colloquialism for a CV, which is to be a piece of literature to describe qualifications for a job.
While I am American, i lived in France and England for a while and over there, the term "Resume" was completely foreign, but CV was something everyone understood. So that is why I thought I would shine light on this.
(Unless maybe you were meaning to make a joke, sorry I took the question literally)