The only original song lyrics in the movie are those to "The Greatest Adventure" and other sections where that melody is used. All others are directly from the book as written by J.R.R. Tolkien or adaptations of what he wrote in verse form.
The Arkenstone, an heirloom of Thorin's dynasty and the most important treasure that he wishes to recover, isn't included in this film so neither is the surrounding storyline of Bilbo stealing the Arkenstone and giving it to the elves. This event causes noticeable friction between the two of them in the book which is explained in the movie as Thorin's irritation at Bilbo's lack of understanding for war, something that doesn't happen at all in the book.
In the book, Bilbo is knocked unconscious by a falling rock during the Battle of Five Armies immediately after seeing the eagles arrive to help. In the movie, perhaps due to an anti-war bias at the time of filming, Bilbo states that he "simply doesn't understand war" and then hides behind a stone, using the ring to become invisible and watching the entire battle. When asked about his whereabouts Bilbo lies and says that he had "a bump to the head" and was "out for hours".
The song sung while Bilbo and the dwarves as they walk through Mirkwood, "Roads go ever ever on, Over rock and under tree, By caves where never sun has shown, By streams that never find the see," is taken directly from the book, although in it Bilbo sings it as he first sees Hobbitton upon his return.
The second song sung by the dwarves at Bag End, "Far o'er the misty mountains cold, To dungeons deep and caverns old, We must away ere break of day, To seek the pale enchanted gold," is a direct quote of the first verse of the book version (which has ten verses).