I'd shy away from that myself. All things considered (the CPU type, clock speed, and iGPU), that is basically as low as it goes. That's a very bare level PC that I wouldn't consider unless "you need something, anything", and just for basic work/media. It has 6GB RAM, but that doesn't matter here. The CPU/iGPU will be huge limiting factors. Minecraft needs those other two things more than RAM.
Ask around in the hardware forum and some of the people there will know current stuff at price ranges to recommend.
Eh, i have a worse processor and minecraft runs fine. In fact, almost all games run fine in that computer. Also if you have the money buy an AMD Phenonm II X4 or X6, as they're pretty good processors and Minecraft will run perfectly. And yes, Optifine helps a lot.
I'm not sure what OptiFine will or won't do with that set of hardware. OptiFine is nice, and can help if you already have something that drags a little, but I wouldn't buy a new PC with the intent of needing OptiFine to fix it out the gate. That's the wrong approach. I'd heavily advise something better.
Out of interest, what is your budget? I ask because I recently helped my sister get her son a laptop for Christmas. Things move fast, but I found that performance in CPUs/iGPUs really falls off drastically compared to price below around $380 to $400, so below that price point, I'd be hard pressed to make recommendations honestly (though if you must...).
If you're curious, we settled on a Lenovo with a Core i3 (2.5Ghz Ivy Bridge, HD 4000 graphics), 4GB RAM, and a 500GB hard drive. I'm not necessarily recommending the same, mind you. I'm just giving you a sort of reference.