SSD Has nothing to do with lag, SSD makes your computer launch faster, shutdown faster, and programs will start faster.
That computer will handle minecraft perfectly. Multiplayer lag depends on your internet speed. If your thinking should you buy that computer, i recommend.
gokarter24 told you about i5 or i7 processor, i would say no. The processor AMD BULLDOZER QUAD CORE FX-4170 is very good. Its almost better than any i5 Processor. Don't listen to others, I'm sure that computer will handle almost any game without lag. SSD is a solid state drive, That computer has Hard disk drive.
Ssd is always better, but it costs more, and it's not necessary.
If you want more info about SSD's,
http://en.wikipedia.org/wiki/Solid-state_drive
