Can I play well with this combination?

I have the laptop and plan to buy this monitor. If I connect the two things with an hdmi cable, can I gamble well? So it works then, from the graphics. I don't want heavy gaming stuff. Just briefly, if you want to go into a fantasy world. Would the crew 2 work on it? Would the image graphics with the monitor be any better?

No, the laptop is unusable for gaming.

Probably wouldn't be better but bigger

I don't think you can play anything on this computer - it will be difficult even with undemanding titles. Slow dual core with little RAM and no graphics card.
The monitor is just a larger picture, it doesn't make anything better or worse. Whereby bad graphics and resolution probably looks even worse in a larger picture.