What is it about the weather that you want to know? That is probably a question you don't know how to ask yet.
If you were a glider pilot, you'd want to know all about thermals, ridge winds, mountain waves, rotors and so forth. As an IFR pilot, you would be intensely interested in icing, convection and so forth. As a VFR PPL holder, you see some who want to know if there is one cloud in the sky - then avoid it, while others want to know all the nuances that can cause a VMC day to go IMC so they can fly to the max.
I'm not trying to be unfair, I suspect may not yet have enough awareness of your expected environment (even if you think you do).
And, as others have hinted, there's a big murky area where weather and the systems of providing weather information merge.
Weather Flying by Buck opened my eyes to the importance of the big picture, to seeing trends, to looking for areas where things could get exciting. But, it's probably not necessary for you yet. I'd suggest the two FAA Hanbdbooks on weather as a start. They're online and free.
Then, I'd look for more skill in using weather tools such as are on the AWC site. That takes practice.