Turn the computer on. Run any program that will heat the cpu.
Prime 95, OCCT, Intel burn test, as examples. once the cpu is good and warm turn off computer an gently twist the heatsink clockwise then counter clockwise several times.
Now lift the heatsink from one side,not straight up.
It looks like your CPU is designed to use Socket 478. A quick search on newegg.com finds 3 socket 478 motherboards instock (refurbished because of how old that socket is). Here is a link to the search results:
The 478 socket is the physical size and layout of the CPU's pins, so yes. As to those 3 motherboards working with your CPU I really have no idea. They have the 478 socket but there maybe other requirements too. That CPU is really old and outdated so there really isn't much of a selection for you.
Really at this point it would probably be easier and better to upgrade to a current system if that is a possibility for you.