While the "pros" are taking a well deserved break, let me suggest that even a cave man could stack the rock. Thing about it, the picture seems to show a raised bed, filled with a soil appropriate for "green & pretty" things. It appears to incline downwards from the fence. It was obviously laid out by someone with a high degree of expertise. The average "Do-It-Yourselfer" is unlikely to achieve results so pleasing to the eye.

Once you identify your turf grass, you can obtain the information to eradicate it at Home Depot. I suspect a couple of thorough applications of Roundup, at ten day intervals, might suffice. Plant selection will be a function of soil type, climate and available moisture.

Don't even think about piling soil against your fence.

Ps: That stone will sink right into the ground, if not supported by a base of sand or gravel.

Thank you, good point about the sand.

"Don't even think about piling soil against your fence"
What else do you do? I want to achieve something like this, but have a chain link fence between me and my neighbor

I had in mind the privacy fence seen in your photo. Contact with soil would cause it to deteriorate. One thing you could do, whatever the composition of the fence, is place a retainer of railroad cross ties at the back of the bed, leaving sufficient clearance to repair the fence, when necessary. That would give you a soil depth of almost 8 inches, not really enough for larger shrubs. So what you might do, after removing the turf grass, is work the topsoil well, with a spade or tiller, down to a depth of 8 inches or so, then mix it with soil amendments as you bring the bed to the desired height. If you encounter hard clay, rock, or caliche, you might just want to discard some of the original soil. My soil conditioners of choice are finely textured bark mulch and compost. I avoid sand and peat moss.

One thing to be careful of ... if you're creating something like this on what is basically flat grade, then tapering soil downward so as not to build up at the fence, then you're creating something that is bound to look a little goofy and not like the picture (where the grade is higher at the back.) Things in landscape only look good when they make physical sense. If they are contrived for no good reason ("I like it" is not a good reason) or seem like a contrivance, then they are usually off-putting to the viewer. Use good looking devices where they are needed. If you can make it look like it is needed by hiding all negative issues with plants, that would be one way to overcome that it is not needed (if that, in fact, is the case.)

Yes, one would be creating a raised bed, where one is not functionally required. I'm not much on "art for art's sake," but that "edging" is attractive.

Ordinarily, I might suggest that, depending on the nature of the topsoil, a raised bed could here be the most effective way of giving larger plants the type and depth of soil they require. In paging through the Lawn Care Forum, however, I see that Fillthemup has some serious drainage issues. Very serious. The drainage and landscaping issues can't be separated, and it appears to me that expert consultation is in order.