Question: The resurrection as taught by Paul, is it an event or is it a process ?
The First resurrection is of the Saints up to the time of the return of the LORD Jesus..
Revelation 20: KJV
4 "And I saw thrones, and they sat upon them, and judgment was given unto them: and I saw the souls of them that were beheaded for the witness of Jesus, and for the word of God, and which had not worshipped the beast, neither his image, neither had received his mark upon their foreheads, or in their hands; and they lived and reigned with Christ a thousand years. {5} But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection. {6} Blessed and holy is he that hath part in the first resurrection: on such the second death hath no power, but they shall be priests of God and of Christ, and shall reign with him a thousand years."
At the end of the 1000 years there will be a final resurrection of everyone else for the final judgement..
Revelation 20: KJV
11 "And I saw a great white throne, and him that sat on it, from whose face the earth and the heaven fled away; and there was found no place for them. {12} And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works. {13} And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works."
Now depending on which Paul scriptures you are talking about.. Paul could be talking about either of these resurrections..