The Gospel reading for the Third Sunday in Easter is the account of the two of Christ's followers who encounter Him on the road to Emmaus soon after Jesus has risen from the dead. They do not recognize our Lord while He speaks with them on the way. When Jesus first meets the two, they express discouragement because of Jesus' death. He explains to them from Scripture how it was necessary for the Messiah to suffer, die, and then rise again. Even then, they did not recognize our Lord. It was not until Jesus' breaking of the bread that they recognized Him. Their response was to return to the apostles and tell them that they had seen the Risen Lord.

Readings:

Acts 2:14,22-33
Psalm 16:1-2, 5, 7-11
1 Peter 1:17-21
Luke 24:13-35

Here are a few commentaries on these readings:

Jesus Remains With Us in Scripture - Pontifical Household preacher, Capuchin Father Raniero Cantalamessa (Courtesy of Zenit)

St. Charles Borromeo Lectionary Site (PDF)

Emmaus and Us - St. Paul Center for Biblical Theology

Emmaus - From Despair to Joy - The Crossroads Initiative