No. Not worth the money.
A single core 2.4 GHz processor is not going to be faster than a dual-core 2.0 GHz processor, unless you're dealing with a program that cannot take advantage of multi-threads.
Since it's using DDR memory, that means it's likely a socket 939 motherboard and is dead-end technology. Yes, you may be able to upgrade the processor, but the cost of those processors exceeds, by far, the benefit you'd get from it.
Looks to have on-board graphics. There is no mention of what type of graphics card slot it has (either AGP or PCI-E). If it's AGP (also dead end tech), you just limited yourself to what upgrades you could implement.
Quite simply, for $200, you could build a better core system. In NO WAY should you invest in this computer.