The course focuses entirely on Lightroom’s Library module. While Lightroom Classic’s current version is 11.2, much of the Library module features have remained consistent with smaller changes and tweaks throughout the years unlike the Develop module updates which have received massive overhauls.
For example, the Let’s Get Organized! course lessons on working with folder structures, catalogs, importing, flags, color ratings, stars ratings, view types, spray paint tool, keywords, smart previews, regular collections, smart collections, and exporting would still be applicable to the older version of Lightroom.  The overviews on catalog settings and Lightroom preferences even remain largely the same in previous versions of Lightroom.
To take full advantage of every single course option, yes, you would need the latest version of Lightroom. Although, even if you are using Lightroom Version 5.0 released back in 2013, you can take advantage of 90% of Let’s Get Organized!.