And to add confusion, you’ll find him differently named through the four gospels: Simon, Petrus and Simon Petrus. Jesus calls him Simon Barjona (Son of Jona), too. Often you will find in the translations instead of Petrus the Aramaic Kephas, which is still the same name, anyway.
Simon Petrus/Kephas is the brother of Andreas. Their father is called John, too (Jona = John in English translations), so you might also find: Simon, son of John.
Add a bit more confusion: There is another Simon, whose byname is Kananaeus, in Luke he goes by the name Simon Zelotes. If the gospels refere to him, his byname is mentioned, otherwise it usually refers to Simon Petrus (exceptions see below, but they are made clear through the context).
Another Simon, but no apostle, is one of the so-called brothers of Jesus (for example mark 6,3) and the man who carried the cross of Jesus (Simon of Cyrene). The father of Judas Iskariot is called Simon Iskariot, by the way. In Acts, there is the magician Simon - he is of course no apostle! Again in acts, Petrus stays with another Simon at his house, Simon the tanner.
Confusion complete?

Remember the easy rule: Usually, if nothing different is mentioned, Simon = Simon Petrus/Kephas