Any person may visit a shrine and one need not be Shinto to do this. Doing so is called Omairi. Typically there are a few basic steps to visiting a shrine. At the entrance gate, bow respectfully before passing through. At the Temizuya (手水舎), perform Temizu: take the dipper in your right hand and scoop up water. Pour some onto your left hand, then transfer the dipper to your left hand and pour some onto your right hand. Transfer the dipper to your right hand again, cup your left palm, and pour water into it, from which you will take the water into your mouth (never drink directly from the dipper), silently swish it around in your mouth (do not drink), then quietly spit it out into your cupped left hand (not into the reservoir). Then, holding the handle of the dipper in both hands, turn it vertically so that the remaining water washes over the handle. Then replace it where you found it.
Approach the shrine; if there is a bell, you may ring the bell first (or after depositing a donation); if there is a box for donations, leave a modest one in relation to your means; then bow twice, clap twice, and hold the second clap with your hands held together in front of your heart for a closing bow after your prayers.
Be sincere and respectful to the staff and other visitors, and if at all possible, be quiet. Do be aware that there are places one should not go on the shrine grounds. Do not wear shoes inside any buildings. #Kyoto #Gion