SEO puts a website into Google's list of results. GEO makes sure an AI builds its answer from that website and names the hotel in it. The guest no longer sees ten links, but a recommendation with two or three properties.
An AI does not quote a whole page, it quotes single paragraphs. It only takes what it can read as plain text: rooms, facilities, times, starting prices. Anything that only lives in images, PDF brochures or the booking engine does not exist for it. SEO remains the foundation: a site Google cannot read cleanly will not be recommended by an AI either.