Graphics cards are expensive (usually a lot more than $50) and tricky to replace, but the graphics card driver is free to upgrade, it's just software from the manufacturer's website. It won't change the power of the graphics card, but it will sometimes add new capabilities (like opengl 2.0 support). What graphics card do you have installed currently? I can see if there's an updated driver.
The latest driver is 14.42.15.64.5420, released 08/30/2012, so it's possible it's just too old and doesn't support Aground. To get a refund, you'll have to contact itch.io: https://itch.io/docs/legal/terms#refunds (if you bought it on steam too, you'll have to request the refund there as well: https://support.steampowered.com/kb_article.php?ref=6695-QIKM-7966). I cannot process refunds myself, but they both allow refunds for games that don't run, so it should be pretty easy.
Intel(R) Q45/Q43 Express Chipset (WDDM 1.1) sounds like an on-board Intel graphics adapter that is rather outdated like you say yourself. And if you are running a laptop computer then that's it, end of story. However if you use a desktop PC of some sort (in a big metal casing with a screen next to it) then it ought to be relatively easy to get a secondhand graphics adapter for cheap. However it would be required both that you know what socket that is available for an add-on graphics adapter and that you find out if the power supply on your PC is powerful enough for what you eventually buy so that you do not get a too powerful upgrade unless that you want to spend money on a better power supply also. So in any case you would have to get help from someone who can help you do an upgrade.
If you ask someone that has knowledge of PC stuff to help they may tell you that you are better off buying a new PC but if you have a desktop PC and do not have the money to get a better PC then it might be possible to find a cheap used add-on graphics adapter.
Anyway, let me put it this way : Any PC that can not run the Aground game is probably so old that you seriously ought to consider upgrading parts of the PC or the whole PC.
(As it says in a present Q45 Express Chipset compatibility review then a dedicated graphics card upgrade is a must , however while a better graphics adapter can help you play a few games that you can not play now then it will not help you with other challenges that you are facing like e.g. that for every generation of computer and OS it takes more power to run all the software, especially because in today's world you will always need to have a very good antivirus program package which adds a great start burden on the whole computer for just booting. Also with respect to speed then these days you ought to have the OS drive be a SSD drive. In the end my best advice would be : get a new PC and if you want a PC because you generally want to play PC games of the kind that you generally buy on Steam then be sure that it has a fairly good graphics adapter. These days a new PC ought to have at least one of the better Intel i5 CPUs or better (i7) and NVidia Geforce 1060 series or better)