Official Catholic Teaching on Bodily Resurrection
Excerpted from the Catechism of the Catholic Church.
988 The Christian Creed - the profession of our faith in God, the Father, the Son, and the Holy Spirit, and in God's creative, saving, and sanctifying action - culminates in the proclamation of the resurrection of the dead on the last day and in life everlasting.
989 We firmly believe, and hence we hope that, just as Christ is truly risen from the dead and lives for ever, so after death the righteous will live for ever with the risen Christ and he will raise them up on the last day. Our resurrection, like his own, will be the work of the Most Holy Trinity.
...997 What is "rising"? In death, the separation of the soul from the body, the human body decays and the soul goes to meet God, while awaiting its reunion with its glorified body. God, in his almighty power, will definitively grant incorruptible life to our bodies by reuniting them with our souls, through the power of Jesus' Resurrection.
998 Who will rise? All the dead will rise, "those who have done good, to the resurrection of life, and those who have done evil, to the resurrection of judgment."
999 How? Christ is raised with his own body: "See my hands and my feet, that it is I myself"; but he did not return to an earthly life. So, in him, "all of them will rise again with their own bodies which they now bear," but Christ "will change our lowly body to be like his glorious body," into a "spiritual body":
But someone will ask, "How are the dead raised? With what kind of body do they come?" You foolish man! What you sow does not come to life unless it dies. And what you sow is not the body which is to be, but a bare kernel. . . . What is sown is perishable, what is raised is imperishable. . . . The dead will be raised imperishable. . . . For this perishable nature must put on the imperishable, and this mortal nature must put on immortality. (1 Cor. 15)
1000 This "how" exceeds our imagination and understanding; it is accessible only to faith. Yet our participation in the Eucharist already gives us a foretaste of Christ's transfiguration of our bodies:
Just as bread that comes from the earth, after God's blessing has been invoked upon it, is no longer ordinary bread, but Eucharist, formed of two things, the one earthly and the other heavenly: so too our bodies, which partake of the Eucharist, are no longer corruptible, but possess the hope of resurrection.
1001 When? Definitively "at the last day," "at the end of the world." Indeed, the resurrection of the dead is closely associated with Christ's Parousia:
For the Lord himself will descend from heaven, with a cry of command, with the archangel's call, and with the sound of the trumpet of God. And the dead in Christ will rise first. (1 Thess. 4:16)