Joseph Smith - History

Oliver Cowdery finished his testimony the restoration of the priesthood and baptism writing -

"...one touch with the finger of his love, yes, one ray of glory from the upper world, or one word from the mouth of the Savior, from the bosom of eternity, strikes it all into insignificance, and blots it forever from the mind. The assurance that we were in the presence of an angel, the certainty that we heard the voice of Jesus, and the truth unsullied as it flowed from a pure personage, dictated by the will of God, is to me past description, and I shall ever look upon this expression of the Savior’s goodness with wonder and thanksgiving while I am permitted to tarry; and in those mansions where perfection dwells and sin never comes, I hope to adore in that day which shall never cease.”—Messenger and Advocate, vol. 1 (October 1834), pp. 14–16.
(Joseph Smith—History, Note, 7)

In my mind, these are the feelings of being in the presence of God.