Well to really learn the subject in depth
I would google
the subject or go to amazon.com and look for a good book on the subject.
On this forum you will certainly get some pointers but to develop serious expertise buy a textbook on meteorology.
I am FAR from an expert but can offer a couple of general pointers.
Certain weather maps will show you isobaric lines (a line along which the barometric pressure is equal). High and low pressure centers will have a circular isobaric line around them with of course the highest pressure inside the circle around a high and lowest inside the low circle.
Look at how close together the isobaric lines are between a high and low. The closer together the lines the higher the winds in that area.
Not sure if this is univeral but at least in the areas I know about, bad weather and storms come with lows and good, calmer weather with highs. The lower the pressure in a low the worse the weather.