Was Saint Peter the first pope?

The Roman Catholic Church sees Peter as the first pope upon whom God had chosen to build His church (Matthew 16:18). It holds that he had authority (primacy) over the other apostles. The Roman Catholic Church maintains that sometime after the recorded events of the book of Acts, the Apostle Peter became the first bishop of Rome, and that the Roman bishop was accepted by the early church as the central authority among all of the churches. It teaches that God passed Peter’s apostolic authority to those who later filled his seat as bishop of Rome. This teaching that God passed on Peter’s apostolic authority to the subsequent bishops is referred to as “apostolic succession.”

The Roman Catholic Church also holds that Peter and the subsequent popes were and are infallible when addressing issues “ex cathedra,” from their position and authority as pope. It teaches that this infallibility gives the pope the ability to guide the church without error. The Roman Catholic Church claims that it can trace an unbroken line of popes back to St. Peter, citing this as evidence that it is the true church, since, according to their interpretation of Matthew 16:18, Christ built His church upon Peter.

But while Peter was central in the early spread of the gospel (part of the meaning behind Matthew 16:18-19), the teaching of Scripture, taken in context, nowhere declares that he was in authority over the other apostles, or over the church (having primacy). See Acts 15:1-23Galatians 2:1-14; and 1 Peter 5:1-5. Nor is it ever taught in Scripture that the bishop of Rome, or any other bishop, was to have primacy over the church. Scripture does not even explicitly record Peter even being in Rome. Rather there is only one reference in Scripture of Peter writing from “Babylon,” a name sometimes applied to Rome (1 Peter 5:13). Primarily upon this and the historical rise of the influence of the Bishop of Rome come the Roman Catholic Church’s teaching of the primacy of the bishop of Rome. However, Scripture shows that Peter’s authority was shared by the other apostles (Ephesians 2:19-20), and the “loosing and binding” authority attributed to him was likewise shared by the local churches, not just their church leaders (see Matthew 18:15-191 Corinthians 5:1-132 Corinthians 13:10Titus 2:153:10-11).

https://www.gotquestions.org/Peter-first-pope.html