That is a very low end computer with an integrated graphics chip. I'd say you can run stuff from 2003 and earlier. Anything newer probably won't perform well with that integrated graphics chip.
If you want to run anything newer than 2003, you'll probably need to get a video card. Even then, that Sempron is going to hold you back, it is a very outdated CPU, it's only single core. As such, it falls below the minimum requirements for most modern games. Just about everything made 2008 and later requires at least a dual core, aside from a few indie titles with very modest system requirements.
Your Sempron is a locked Athlon II Regor, so you may be able to unlock the second core, giving you a dual core. However, the odds of a successful unlock is 50/50 at best, and that's if the motherboard allows for core unlocking. Even with an unlocked core, your CPU would still be quite weak.
If you are looking to play current games, you need a CPU upgrade and a video card upgrade at the very least.