It really isn't difficult to get it working.
You just have to install gta like normal, and then you need the latest Games for Windows Live client. The one that normally comes with GTA is outdated and doesn't work with Win 8.
However, I would be very hesitant about trying to play GTA on they laptop. That's not a gaming laptop in any sense of the word and it doesn't have a dedicated graphics card, from what I could see online. You'll have to settle with running GTA on the lowest settings, and you probably won't be able to mod it much.