He was born Benedict, son of John. (This was before it was common for popes to take regnal names. The first pope to do so was Mercurius, who was elected pope in 533 and felt it was improper for a Christian pope to be named for a Roman god, so he took the name John II. But many popes had names that they considered already suitable.) Benedict had been involved in the courts of Popes Agatho and Leo II, and was known for his knowledge of Scriptures from an early age.
His confirmation as pope at the time had to come from the emperor, and the emperor at the time for the Roman Empire (what there was of it) was Constantine IV. It took a year for the request to go to Constantinople and for the reply to come back to Rome. He tried to persuade Constantine that they could save time by allowing the Exarch in Ravenna (the Byzantine emperor's local administrator) to ratify papal elections. Constantine was interested in the idea, but request for papal confirmations continued to go to Constantinople.
One of Benedict's acts that connects to recent posts here was his confirmation of Pope Agatho's decree that Wilfrid should be returned to the See of York as archbishop.
Then, after the Sixth Ecumenical Council to determine once and for all the official stand on Monothelitism, bishops who adhered to Monothelitism were sent to Rome for re-education. Benedict did not want to simply condemn Macarius, who had been the Patriarch of Antioch: he wanted to convince him that Monothelitism was wrong and Macarius should relent. According to the notes of the Second Council of Nicaea, which addressed how to manage heretical bishops, Benedict spent 30 days trying to persuade Macarius.
A motive for not simply leaving Macarius deposed has been suggested: his successor at Antioch had just died, and Benedict might have wanted to reinstate Macarius. Macarius was not about to change his stance. He had told the emperor in the Sixth Ecumenical Council that he would rather be cut to pieces and thrown in the sea than admit the doctrine of two wills in Jesus.
So far as we know, Benedict's attempts failed. Macarius drops out of the historical record. As for Benedict, he was pope from 26 June 684 to 8 May 685.
The Second Council of Nicaea was also called the Seventh General Council; it was the last of seven general councils between both the Western Roman and Eastern Byzantine Churches. We'll look at its subjects tomorrow.