This provides a pretty good summary for those who have a bit of trouble understanding the Holy Trinity and what it means that the Father, Son, and Holy Spirit are the same God.
Here the accompanying diagram helps clarify the nature of instances like the Lord's Prayer by pointing out that, while the three Persons of the Trinity are not each other, they all are one inseparable eternal God. As Athanasius worded it, "neither confusing the Persons nor dividing the Essence."
Note that "catholic" in the sense used in the Creed's English translation means universal and did not take on denominational connotations until the Great Schism of 1054.