There are two kinds of ceremonies for members of the Church of Jesus Christ of Latter-day Saints. A temple ceremony or sealing ordinance takes place within a Mormon temple and may only be attended by Mormons in good standing; they need a temple “recommend” to attend, just as the couple must meet a series of requirements to get their “recommend” for a temple wedding.
The ceremony seals the couple together “for time and all eternity,” meaning for this life and the afterlife. Details of the ceremony are sacred and not shared with non-Mormons.
In a civil ceremony, still religious, the couple is married by the local bishop, usually in a church or a home. The marriage is intended to last until death but does not extend to the afterlife; non-Mormons may attend. Many couples marry in a civil ceremony and have a temple wedding later.