I should say….I said “UI differences” and that covers a lot, but maybe the biggest one is that the tool settings for the brushes used to be in the toolbar (the “left viewport side panel) in 2.79….but as you can see, the toolbar is very very different in 2.8. The brush settings now live in the properties editor – the panel on the lower right of the window – in the Tool tab. If you use the Sculpting workspace, that tab is already open and ready to go. In case you accidentally wander off of it though, it’s the very first tab – the one with the screwdriver/wrench icon.
And yes, the Properties editor tabs are now VERTICAL, instead of horizontal across the top! It does make for a neater and easier to use UI, but it still might take some getting used to; the tabs are in the same order at least. You can hover over the icons for a tooltip if you need help discovering which tab is which.
Also, in that image you posted, in the list of brushes – that Simplify brush is just recently added! All it does is reduce the complexity (or density, resolution, number of triangles, however you want to say it) of the mesh without changing its shape. Obviously you need Dyntopo turned on in order for it to work. The functionality isn’t really new, but existing as its own dedicated brush type is very useful.
