It shows in the bottom picture posted that the recommended driver is installed & in use. The one on the background on the Web page is the same version.
At any rate, Nick has posted tutorials on how to install NVIDIA drivers below & so did DC more recently.
Nick has also created a Topic in regards to Media Codecs that may be needed for video playback (do this before anything to see if your issue is solved).
Hopefully installing the codecs alone may greatly improve the situation. Finally, the graphics card is kind of dated & you can not expect the performance of a much newer, higher powered card that likely also uses less energy & costs less than when that one was released. Looked to be a popular card between 2008-2010, finally fizzling out by 2011. Technology evolves, with that in mind, we must move with the flow to meet the demands of today. There are many nice GPU's in the $100-125 range, these are slowly dropping in price. Even a used one of just 2 years back would be a major improvement, if you know anyone who has purchased a new one & wants to sell the other, many upgrades GPU's every 2-3 years at the most. I'll likely upgrade mine again by that time, but will upgrade the PSU first, so that I can get a purebred performance card.
There are cards like the AMD Radeon HD 7770 series that are dirt cheap & runs great on Linux, plus has 1GB GDDR5 memory, mine was the MSI PMD1GD5 (R7770) OC edition. Though I payed $110 for the card, the price later dropped to $75. If I had a 2nd PC it would install into, wouldn't be sitting in it's box unused.