It depends on numerous things. Are these games like Call of Duty or something? If so, no offence, your computer really needs an upgrade if you plan on playing those kind of games.
If I may ask, what graphics card are you running?
Annother problem is that your running 32-bit. A 32-bit system doesn't work as well as 64-bit, and 32-bit should never really be used for gaming.
I would suggest buying a brand new one, as this one seems to be rather old and obsolete. But, if your playing browser games, like Runescape, then you may want to change the graphics settings so that they can preform at a better rate.