How many times did the Apostles receive the Holy Spirit/Ghost?

Answer 1

That question has puzzled people for centuries and it boils down to what you mean by "received" and how you interpret this passage.

John 20:22 And when he had said this, he breathed on them and said to them, "Receive the Holy Spirit.

If you mean how many times were they baptized with the Holy Spirit, the answer is once at Pentecost in Acts chapter 2.

Answer 2

Twice. Once when Jesus breathed on them and said "receive ye the Holy Ghost" and gave the Apostles the power to forgive sin in His name - and again at the First Pentecost.