Your current laptop can play that game.
The other laptops CPU is just as fast. Maybe a tad faster but not by much given going by both their respective benchmarks. This is mainly because the i5 in the 2nd one is in the "u" series which means it's extremely under clocked for better battery life and less heat. The GPU in it is about 80% faster the your current laptop.
There would be a lot more games you could play with the 2nd one as its GPU breaches into 600 GFLOPs barrier and is thus on par with the Nvidia 9800GT/X so many games have listed as their absolute minimum requirements.
So..same CPU, and a 80% increase on the GPU side that makes it barely usable for today's games. League would run a whole lot better on it, but I'm not even sure it's worth getting if that's all you really want to play.
99% of the time, I edit for type-o's and grammar. I'll note it if that's not the case.
I write near essays for most my responses, and then try to condense as best I can to the introduction of one. Less is more. Let me know if I post to much.
I do a lot of spacing for readability. Let me know if that makes my posts seem to big.