You can download Servo right now and use it as a browser: https://servo.org/download/

It is just extremely rough. It is in a far less-usable state than Ladybird even is and very prone to crashing.

Agreed, I really hope that someday we'll get a full rust browser, because rust is a language where I could see myself contributing (e.g. fixing bugs that annoy me when using it all day) to it, compared to other languages like C/C++.