The book is available at Project Gutenberg and Internet Archive (I have not checked for other online sources). There's also a free audiobook at LibriVox.
Table of Contents
CHAPTER ONE. The Cicons.—The Fruit of the Lotus-tree.—Polyphemus and the Cyclops.—The Kingdom of the Winds, and God Aeolus's Fatal Present.—The Laestrygonian Man-eaters.
CHAPTER TWO. The House of Circe.—Men changed into Beasts.—The Voyage to Hell.—The Banquet of the Dead.
CHAPTER THREE. The Song of the Sirens.—Scylla and Charybdis.—The Oxen of the Sun.—The Judgment.—The Crew Killed by Lightning.
CHAPTER FOUR. The Island of Calypso.—Immortality Refused.
CHAPTER FIVE. The Tempest.—The Sea-bird's Gift.—The Escape by Swimming.—The Sleep in the Woods.
CHAPTER SIX. The Princess Nausicaa.—The Washing.—The Game with the Ball.—The Court of Phaeacia and King Alcinous.
CHAPTER SEVEN. The Songs of Demodocus—The Convoy Home.—The Manners—Transformed to Stone—The Young Shepherd.
CHAPTER EIGHT. The Change from a King to a Beggar.—Eumaeus and the Herdsmen—Telemachus.
CHAPTER NINE. The Queen's Suitors—The Battle of the Beggars.—The Armour Taken Down.—The Meeting with Penelope.
CHAPTER TEN. The Madness from Above—The Bow of Ulysses.—The Slaughter.—The Conclusion.