We were always meant to experience G-d, from the beginning we would spend the day "tending the garden" and He would come in the cool of the evening and fellowship with man. This relationship was visited on those the Lord chose for His purpose in the Old Testament, now with Christ indwelling the believer we are capable of living the life Christ modeled for us to live.
Thank you for the tip on the book, Experiencing God by Henry T. Blackaby and Claude V. King was a great on for me, used it in a study a few decades ago, went through the new- 70% bigger version in a study a little while ago and was able to see how nearly every page shared a way He has actively manifested Himself to myself and others I know.
blessings