The age of Johnson refers to a period of time when all major/famous poetry publication was dominated by a poem named Dr. Samuel Johnson.
Before the age of Johnson , the theme of popular Poetry was mostly classical (which revolves around honoring tradition / culture in a certain society). Samuel Johnson was an important figure who introduced Romantic Themes in poetry (which revolves around humans and their emotion) . As a result, other poetry with this theme started to emerge and became popular between 1744-1784.