Can I swap the logic board for a PC mother board in an old iMac?

Let me start out by saying I am a complete novice when it comes to hardware, so if my question makes no sense, let me know gently.

I have an old 2007 iMac 5,1, the old Core 2 Duo white plastic relic, and I suspect it has a bad logic board. When I press the power button, the sleep indicator light stays steady on, and the screen does nothing; no chime, little fan noise, nothing else. I initially wanted to throw Cloudready on there because Mac OS 10.7 is old, but now that it's not booting up, it's a paperweight.

Would it be possible to remove the logic board, put in a PC mother board, and have everything work all nice and whatnot, or is this just not possible? I love the design of the hardware that Apple did back in the day, but I'd love to be able to actually use it, and use modern software. Just wondering how to even go about doing something like this. Or if I am even using the right terminology.

Again, I'm not a smart when it comes to hardware, so if whatever I just asked makes no sense, break it to me easy.