When you imagine an ordination ceremony, you are most likely thinking of a Roman Catholic, Orthodox or Anglican consecration.
Personalized Ordination Gift Plaques
Within these faiths, there are three "degrees" of ordination: deacon, presbyter, and bishop, according to Wikipedia. Both bishops and presbyters are priests and have authority to celebrate the Eucharist.
Ordination of a bishop is performed by several bishops; ordination of a priest or deacon is performed by a single bishop. Only a person ordained to the priesthood may administer most sacraments. That includes hearing confession or giving Holy Communion.