If you are walking around the Gion district, be sure to see this Buddhist temple complex (closes at 5pm). It's large and pretty standard as far as features with the dry garden, pond, bridges, bamboo grove, etc, but if you don't have time to go up to Kinkakuji, Ryoanji or Ninnaji seeing this will give you an idea of what this type of temple is all about. You can also walk about .25 miles to see the Kodai-ji temple, which is similar, or you can just stick with this one that is closer to the main part of Gion.
This temple is dedicated to the goddess Kannon (Kuan-yin in Chinese) and there is a very lovely central shrine. This site also has livestreamed Buddhist ceremonies, which are performed out of public view, so be sure to stop and watch the monitor if one is going on. You will see monks walking around. We came on Coming of Age Day so it was awesome to see young people in kimono walking around.
And if you enjoyed this, also walk 5 min north to the Yasaka shrine, which is Shinto and has a very different, more lively and participatory vibe. It is open and lit up at night.