Can I run PC games on my laptop?

YES I've TRIED AND IT HAS WIRKED

The laptop is just a PC which has been shrunk for convenience of transport.
IF your laptop has enough power and abilities to meet the game requirements then is should play but you may notice that the inbuilt fan is very noisy and the screen is small so could be a little annoying at times.

That laptop has a low end CPU and very low end integrated graphics, Intel® Celeron® Processor N2830 and Intel® HD Graphics. There are games it is capable of playing. Only games with very simple and minimal graphics requirements by todays standards. Games like Flash games on websites, many indie games, and very old games (if they are still compatible). It would also be great to run emulators for 2D consoles like the NES, Atari & Sega Genesis.

Gaming is mostly designed for desktop-tower PCs with good graphics cards, and most of them are upgradable, where laptops have heat and battery restrictions and only expensive laptops have reasonable graphics cards.
Your Lenovo G50-30 80G0 is an entry level laptop of a year or two ago with Intel Pentium N3530 as a cpu with it's integrated graphics.
CPU score is relatively low:
Pentium N3530 @ 2.16GHz score: 1930
and you can see it on this table and compare it to latest i5, i7, and other strong CPUs:
https://www.cpubenchmark.net/...u_list.php
and although low, unfortunately, the graphics processor, as most important to gaming, is in even worse position.
It has Intel Bay Trail HD Graphics at 313 MHz base clock and turbo 896 MHz over short periods.
This is a slow loading high data table of graphics processor to gaming:
http://www.notebookcheck.net/...849.0.html
Wait for full load.
Bay Trail is rank 563.
It is not good for modern games. The games either will not load, or run very slowly with a lot of lag.
The table can be re-selected to view older games. If you put a check mark at #563 and at the top right select all the games, then RESTRICT to Refresh. You will see some games playable at different settings.
Raising ram to 8GB helps a little.
Adding Iobit Game Booster or Razer Cortex helps some.
http://www.iobit.com/en/gamebooster.php
They may give you all of Advanced System Care, or look for a down level of only Game Booster
http://www.razerzone.com/...rtex/boost

I prefer not to disappoint your expectations. You can play older games, and get improve your system to do its best in gaming, but know you have a low budget laptop no-where near as strong as a PS4 or gaming tower PC.

The best tower pcs are built yourself. In the USA, it costs about US$450 and higher to build a pc that can run games OK, and spending more does better. It needs to be carefully planned for the perfect parts at that price to do well and be upgradable later. That's not just any $450.
If you want to start learning about building a PC, Carey Holzman is a master technician with great instruction videos:
https://www.youtube.com/...1UV8jCvIHA

Which OS and version is it using?
if Windows, then it can run Windows applications.

Of course you can run games on your laptop.

Can GTA games work on my laptop G5030 model 80G0