Question: I am a seeking to make a UI for my C school project and I am proficient in HTML CSS Js JQuery.

anybody know any way that I can 'embed' C in HTML?

Answer: 
You can write CGI scripts in any language, including C.
You can compile portable C code into web assembly, then embed it into HTML.

A compiler that compiles into web assembly:
<https://emscripten.org/docs/introducing_emscripten/about_emscripten.html>

web assembly:
<https://webassembly.org/>