I haven't tried using arch since I was 12, and even after all these years the experience makes me feel like such a poser, I didn't even manage to compile the kernel, and gave up before I had anything resembling an OS.
This was over 20 years ago, so I don't know and/or remember, point is I had no idea what I was doing, possibly just trying to build a window manager or something then? All I remember is only having a CLI and feeling like I couldn't get anything to work.
These days the arch live image comes with an install script, archinstall, that does a pretty good job at making sure arch is installed and set up enough to get you in, including installing a nice DE of your choice. No compiling needed :)