This is a two-part question.
First, do you know where I can find this white chair? I like the shape and color, but more importantly, that it doesn't have wheels.
I know it looks a lot like the Skruvsta chair from Ikea, which brings me to my second question: the chair has wheels. Do I have to put them on? Will I be damaging my carpet/the chair if I don't? Thanks!
The chair looks like it's of a mid-century vintage, so you could search for upholstered swivel armchairs on eBay and see what comes up. (Also, we've contacted Urban Outfitters and await a reply.)
Casters are usually removable, but you might find them less harmful to your carpet than the exposed feet of Skruvsta's spider legs. We'd go to Ikea and check it out in person.