Every version of The Lord of the Rings: The Fellowship of the Ring — the books & films, compared across media.
A young hobbit named Frodo inherits a ring of immense, corrupting power from his uncle Bilbo and must leave home to keep it from falling into the hands of its evil creator. A fellowship forms to protect him on that journey. The Fellowship of the Ring exists as both a 1954 novel and a 2001 film — two versions of one story, across two very different media.
Yes. The film is based on The Fellowship of the Ring, J.R.R. Tolkien's 1954 novel, which introduced Frodo Baggins, the One Ring, and the fellowship formed to protect the ringbearer.
Two: Tolkien's original 1954 novel The Fellowship of the Ring and the 2001 film The Lord of the Rings: The Fellowship of the Ring, an Adventure/Fantasy/Action adaptation.
Both tell the same core story of Frodo's quest to keep the One Ring from its evil creator. The 1954 novel is the source; the 2001 film is its cinematic retelling — either is a valid starting point.