Church-published manual Gospel Principles discusses the conferral of Priesthood and ordination to an office for male members of the Church.
The Church of Jesus Christ of Latter-day Saints, Gospel Principles (Intellectual Reserve, Inc., 2011)
The Offices and Duties of the Aaronic Priesthood
In what ways do Aaronic Priesthood holders serve?
When the Aaronic Priesthood is conferred on a man or boy, he is ordained to an office in that priesthood. The offices in the Aaronic Priesthood are deacon, teacher, priest, and bishop. Each office carries duties and responsibilities. Each quorum is presided over by a quorum president, who teaches the members their duties and asks them to fill assignments.
Some men join the Church or become active after they have passed the usual age to receive the offices of this priesthood. They are usually ordained to an office in the Aaronic Priesthood and can soon be ordained to other offices as they remain worthy.
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The Offices and Duties of the Melchizedek Priesthood
In what ways do Melchizedek Priesthood holders serve?
The offices of the Melchizedek Priesthood are elder, high priest, patriarch, Seventy, and Apostle.