Edit, almost forgot, and I'll add this first (you will get it when you read further), there is a conector similar to a pata conector (the ones that use the ribbon cable), but the conector is smaller. That is for a floppy drive only.
That is a very good burner (one of the more popular ones right now). Sometimes the best burner choice can be determined by what burner you already have and what will compliment it well, so what do you have?
A few other things. You might want to find out what power supply you have. I am a bit of an alarmist when it comes to power supplys (going to add that disclaimer after the last time I helped someone), but never the less, they are important.
Your cpu has nothing to do with how many burners you can run. you could run a half dozen burners off most cpu's easilly.
Memory really doesn't mater either unless you are going to have both burners burning at the same time.
It may seem like I'm complicating things, but trust me, its simple to add one, I'm just giving more information.
If you look inside your computer, you will have flat ribbon cables that go to your current drive and maybe hard drives. You most liklly have two motherboard conectors for these cables. Each conector can take two drives (two drives on one cable). See how many are used on your computer to tell you how many you have free. These ribon cable conectors are pata conectors. You may also have sata (the cables and conector will be small and skinny). Most opticals use the wide ones (pata) and hard drives can use both (but you have to have a matching type of hard drive).
As zebadee said, if you do not have a power conector from your power supply, you can use a spillter. If this is the only thing that you have added to your system, your power supply is probably fine (it doesn't hurt to check it out to be safe). If you have done some upgrades (added pci cards, memory, beter video card, lots of usb/firewire devices, etc.), It might be more important to check out your power supply.
Fyi, power supply, power supply, power supply!!!! Yea I said it three times. I'm defanatlly an alarmist when it comes to power supplys (anyone here can tell you they are very important though). On another thread I also recomended looking at the power supply, but got refuted by the experts (this was on a hard drive upgrade). there is actually some good info on checking out your power supply though (and info on upgrading drives, seeing if you have bays free), both pata and sata controlers and even a touch of raid. here is that thread, maybe you can find some usefull info in it.
here is the thread where I got refuted on the power supply (and to think, I gave him several links to this site, thats how he wound up posting there).
It might give a diffrent perspective (second opinion to mine, I like being safe and I like my computer to run well, and do not like taking risks).
Fyi, the power supply guide on that site is very good, should you find you need one.