Would this run minecraft and other online games good?

CPU and Memory:

Intel Celeron dual core.
Intel Celeron G530.
Processor speed 2.4GHz.
4GB RAM.
Hard drive:

500GB SATA hard drive.
DVD optical drives:

Dual layer.
Graphics:

Shared graphics.
Intel HD 2000 Graphics Card with 1000MB memory.
Interfaces and connectivity:

Ethernet port.
Wired keyboard and mouse.
Operating system & software:

Microsoft Windows 7 Premium.
General features:

Size H36.5, W16, D56.3cm.
Weight 8.7kg.
EAN: 5055396002447.

Minecraft would run ok on low settings. But intel graphics arent really too good, so you wouldn't be able to run modern games too well. You could run Counter Strike or left 4 dead 1 ok though.