I highly recommend visiting this site, which contains personal witnesses of Jesus Christ, and the individuals' journeys to seeing the Lord.
Latter Day Witnesses
It does happen still today. And it can to any individual who follows D&C 93:1.
Sunday, May 29, 2016
"Wherefore he saith, Awake thou that sleepest, and arise from the dead, and Christ shall give thee light." Ephesians 5:14
Any food eaten while slumbering, any drink that is drunk, is done in dream and cannot nourish our bellies. "Yea, it shall be unto them, even as unto a hungry man which dreameth, and behold he eateth but he awaketh and his soul is empty; or like unto a thirsty man which dreameth, and behold he drinketh but he awaketh and behold he is faint, and his soul hath appetite..." 2 Nephi 27:3.
It does not end with waking. Waking is the morning, and there is the day to get through. The journey is only beginning and pursuing it remains the responsibility of the waker. Where will you go? What will you do?