|Here's how it works.|
1. Find out what socket your processor requires.
2. Find out what socket a motherboard supplies.
If the two are not the same then you can't use that processor with that motherboard. If they are the same then you may be able to use the two together, but you should check the manufacturer's specifications to see which processors your mother board supports.
So, no, you can't use an i3, which requires a socket other than LGA 775 (depends on the particular model), with that motherboard, which has a LGA 775 socket.
The rest of the research is up to you.