The reading is from Acts of the Apostles 3:19-26

In those days, Peter said to the people, "Repent and turn again, that your sins may be blotted out, that times of refreshing may come from the presence of the Lord, and that he may send the Christ appointed for you, Jesus, whom heaven must receive until the time for establishing all that God spoke by the mouth of his holy prophets from of old. Moses said, 'The Lord God will raise up for you a prophet from your brethren as he raised me up. You shall listen to him in whatever he tells you. And it shall be that every soul that does not listen to that prophet shall be destroyed from the people.' And all the prophets who have spoken, from Samuel and those who came afterwards, also proclaimed these days. You are the sons of the prophets and of the covenant which God gave to your fathers, saying to Abraham, 'And in your posterity shall all the families of the earth be blessed.' God, having raised up his servant, sent him to you first, to bless you in turning every one of you from your wickedness."