Excerpts from The Catechism of The Catholic Church
Do this in memory of me
The command of Jesus to repeat his actions and words 'until he comes' does not ask us to remember Jesus and what he did. It is directed at the liturgical celebration, by the apostles and their successors, of the memorial of Christ, of his life, of his death, of his Resurrection, and of his intercession in the presence of the Father.
From the beginning the Church has been faithful to the Lord's command. Of the Church of Jerusalem it is written:
They devoted themselves to the apostles' teaching and fellowship, to the breaking of the bread and the prayers... Day by day, attending the temple together and breaking the bread in their homes, they partook of food with glad and generous hearts.
It was above all on 'the first day of the week', Sunday, the day of Jesus' Resurrection, that the Christians met 'to break bread'. From that time on down to our own day the celebration of the Eucharist has been continued so that today we encounter it everywhere in the Church with the same fundamental structure. It remains the centre of the Church's life.
Thus from celebration to celebration, as they proclaim the Paschal mystery of Jesus 'until he comes', the pilgrim People of God advances, 'following the narrow way of the cross', toward the heavenly banquet, when all the elect will be seated at the table of the kingdom.