That processor is a single core CPU. You cannot unlock it to dual-core. Unless you meant what dual-core processors would work instead of your current CPU?
Fastdude is right, your current CPU is only a single core unit running at 1.8 Ghz.
As far as "if it runs with dual core," if you ment "if it can be replaced with a dual core," then yes there are several processors that will run on your AM2 platform.