Well, the main issue is one of history. It’s easier if you were say, in the market for a new one. A quick visit to Tom Hardware’s best GPu for the buck for the current month, and you’re set. Moreover, you only relaly need to concern yourself with a few models, and two manufacturers (Nvidia and AMD).
If you’re trying to compare specs on your machine, and it’s a recent machine, again, that is easier. If it’s an older card, it’s a bit harder, but it’s not brain surgery.
You google your card model with “review” afterwards or maybe “bechmarks” and that should get you started.
For modern cards the two manufacturers have a similar system. The first number stands for the generation. A 7000 series AMD or 500 series Nvidia are last genertion GPU’s, while the 8000 and 600 cards are current gen. The next number or two stand for the family. This is usually a main designation of power/performance.
AMD has the main three tiers: 700’s, 800’s and 900’s, while Nvidia has the 60’s, 70’s and 80’s. So an AMd 8800 series card is current gen, second family. It’s a mid tier card which will run any game on the market at good settings at 1080p. Nvidia’s equivalent would be something like a GTX 670.
AMD further delineates their models by another number which is a relative measure of power within that family. A 7850 is a bit less capable than a 7870, for example.
The difference in generations is what confuses most folks. A GTX 480 is more powerful than than a GTX 650, for example, as the latter is an entry level GPU, while the former is a high end powerhouse, albeit one of a few generations ago.