Can someone tell answer my few simple questions?

No gamer wants an Intel only graphics solution. Yes, games may "run" but look at the usual result:
http://www.notebookcheck.net/Intel-HD-Graphics-4600.86106.0.html

That's a sea of red and yes the games ran (poorly.)

You can repeat this for other GPUs and other Intel GMAs.

I can't tell what the first laptop has for the GPU. It might be this one:
http://www.notebookcheck.net/NVIDIA-GeForce-GT-740M.89900.0.html

Still far too much red for gamers.

Use the notebookcheck site for GPU ratings.
Bob

Oh okay, thanks. So it will run games poorly...

Even the Intel graphics did OK on some games. Did you read the results?
Bob

Well, yes. But I didn't understand it kind of. So if it did red, does it mean that the games will run poorly? I mean, most of the games seem to have "green" on the low resolution. So I'll be able to run the game without lags on low resolution, right? But if I turn the graphics to a higher resolution will it become laggy? Or run poorly? And what about the laptop's overall performance, is it good? So what do you suggest, should I be any chance buy it?

That you are playing PC games and know your tolerance to low frame rates. Also you would know what games you play so you can find out if the GPU or Intel would be OK.

As to overall performance we go get reviews on the specific model but for gaming we start with frame rates.

As to low or high resolution, I didn't see that mentioned. The games have settings for low to high EFFECTS. The higher this goes the more detail is rendered. As a PC gamer I took for granted you would know this area.

For me HP is a no-sale brand. They walked on a clear warranty situation on a 3 month old laptop. So that was my last HP. An untrustworthy company.
Bob

Thanks for everything man, I should consider buying something different now.