I can see a range of questions including advice for camera shots and the like.
Think of the area as a plaza. An open space. No tickets required. No cafe "onsite" but within walking distance.
For those wishing to be in close proximity and pray, there is an area for women on one side of a small screen. Otherwise, think of it as an open space. Many photos available on line make that plain. Best days to go there? Avoid the Holy Days and High Holy Days if you are not participating and only wish to view the Wall for your own reasons.
There are 2 days/wk. for Bar Mitvehs: Thursdays &forgotten other day; this time, an April Thursday, was most crowded I have experienced, but orderly, festive, kind to all. There are plastic white (lawn) kinds of chairs on both sides, for people to sit close to or farther back from wall, for prayers, reflection. Many older women or ones w/children, seem to choose this. I did this time, because of many up @ the Wall, but did move forward to insert a couple of notes into it. Last Fall, many groups of middle school children there, praying. So wonderful to behold! Even w/crowded days(also Fridays before sundown) the mood is quiet, reverential, polite, SOOO meaningful, worshiper or tourist alike. This is the 5th time of my visits to Western Wall since 2014.
If you only want to see the Wall (and miss the feeling of sacredness by not being up close) than go thru the Armenian or Christian quarter that will take you above and back and you will face the Wall from a distance and a good vantage point.If you want less crowds go after sunrise any day. Not to be missed you can go at night for a different feel.
The wall is a place of prayer
it is a sacred place that is the only concrete thing that remains of the sacred temple.
if visiting this very important site honor it and respect the fact that to the the Jewish nation this is holy ground.
Get quick answers from Western Wall staff and past visitors.