Integrated graphics simply means that the “graphics card” is integrated as part of the main processor. Most computers that don’t have a separate graphics card have integrated graphics, with Intel processors having Intel graphics.
If you are not very tech savvy and want to do the minimum amount of technical work possible to use Qubes OS, I would recommend buying one of the Qubes Certified computers: Certified hardware | Qubes OS .
If you’re fine with installing Qubes OS, but just want to make sure the computer can run it, you can look at the Community-recommended computers .
Otherwise, you can always try installing Qubes OS on a device you already own and just see if it works. The installer will tell you if there’s a problem.
Please let me know if this helps or if you’d like more information.