Communication through the Holy Ghost
“The Holy Ghost lets us express thanks and ask for help in prayer with the clarity and confidence we once enjoyed with our Heavenly Father and which we will have when we return to Him. That communication with God helps banish fear from our hearts as it builds faith and love of Heavenly Father and Jesus Christ.”
The Gift of the Holy Ghost
All honest seekers of the truth can feel the influence of the Holy Ghost, leading them to Jesus Christ and His gospel. However, the fulness of the blessings given through the Holy Ghost are available only to those who receive the gift of the Holy Ghost and remain worthy.
After a person is baptized into The Church of Jesus Christ of Latter-day Saints, one or more Melchizedek Priesthood holders lay their hands on the person's head and, in a sacred priesthood ordinance, confirm him or her a member of the Church. As part of this ordinance, called confirmation, the person is given the gift of the Holy Ghost.
The gift of the Holy Ghost is different from the influence of the Holy Ghost. Before baptism, a person can feel the influence of the Holy Ghost from time to time and through that influence can receive a testimony of the truth. After receiving the gift of the Holy Ghost, a person has the right to the constant companionship of that member of the Godhead if he or she keeps the commandments. ~ lds.org
See also Bible dictionary definition on the Holy Ghost: http://scriptures.lds.org/bd/h/56