Can my LENOVO H520e get any new graphics card upgrade is so any ideas od decent ones?

My suggestion to read this

How to Choose a Graphic Card to buy? - http://www.deskdecode.com/how-to-choose-a-graphic-card-to-buy/

How to know does my computer can able to run that game (latest games) ? - See more at: http://www.deskdecode.com/how-to-know-does-my-computer-can-able-to-run-that-game-latest-games/

How To Install Graphic Card Or Video Card In Your Computer? - See more at: http://www.deskdecode.com/how-to-install-graphic-card-or-video-card-in-your-computer/

I'm seeing two versions, so without the complete part number instead of a family of PCs, there's no way to know.

If you have a black laptop power supply plugged into the back. If is made like a laptop, huge amount of empty space in the case. So socket to upgrade.

That would make it like the HP 110.
If the price was cheap, there's a very good reason for it and don't expect it to be a normal PC.
Report the full model number.

If I went to the right lenovo web page… I did not see in the specs if you have an availble pci-e slot for a video card…

You have an intergrated video card ( part of the motherboard )

I would suggest you go to lenovo and look at the specs for your computer… If I'm right you can't add a video card…