What you see in the picture is a combination of vanities. You have a vanity with a drawer base. They can come as a one-cabinet (they're called an offset vanity, or made up as two individual cabinets, and you have a built-in drawer desk in between. You can order this setup from most kitchen manufacturers.

There are different ways of getting a vanity in a bathroom. In my previous and current bathrooms, I added a free-standing "vanity" and stool. I reused them in the new build and I was able to add sconces too. In both bathrooms I also had an outlet placed nearby to plug in a hairdryer.