As Dave pointed out, there is communion, but it's the "Mass of the Presanctified" -- there is no consecration; the elements are those consecrated at Holy Thursday Mass.
The Mass is the unbloody re-presentation (to us) of Christ's sacrifice on Calvary. On Good Friday, our attention is entirely on the historical event of his passion and death 2000 years ago, and so we "fast" from the re-presentation of the sacrifice in our own time.
Tell me if I understand correctly.
1. The elements are served.
2. They had been consecrated the day prior, Maundy Thursday.
3. The Church respects the death of Christ by considering itself symbolically dead on Good Friday.