There's no one right way to start learning the guitar.
Even within the scope of strict classical guitar, teachers debate all sorts of things: Should we start with the plucking-hand alone or including the fretting-hand right away? Start with rest-stroke or free-stroke? Start with only rote listening and following of a teacher or use standard notation? Start with single note melodies or with chords and arpeggios?
Break out of classical assumptions and the options grow exponentially. Start finger-style or with a pick? Start with standard tuning or open tuning or other alternatives? Learn simple songs or simplified versions of more complex songs? Focus on solo guitar or guitar as accompaniment to singing or guitar as in a band context? Use tab or notation? Start with blues, rock, pop, Flamenco, folk-songs, or another style?
Even all those options have cultural assumptions. So, I prefer to start by teaching the basic physics of the guitar (which are truly universal to all styles and approaches). Then, we can explore the options creatively! However, despite my love of open-ended creative exploration, I've found that many students do best with the plain old traditional approaches. It varies from student to student based on personality, interests, and experiences from other studies (both musical and otherwise). With so many different things to learn, even advanced guitarists with decades of experience may remain totally unaware of some of the basics in other directions than the ones they know.
I already posted a lesson video on the rhythmic foundation of guitar. That's one great way to start. Today, I'm sharing a handful of other lesson videos which are still are only a sample of the countless approaches to the instrument.