It’s not that difficult. The fastest way is to go to astro.com and open your chart, and above your natal chart there is something that’s called “View additional tables"PDF. Click on that and under Declination you will find planets on a certain degree, either South or North. If Moon both planets, for example Moon and Jupiter are around 4 degrees North, that’s a parallel, if Moon is 4 degrees South and Jupiter 4 degrees North, that’s contra-parallel. Orb should be within 1 degree. Even though in general terms parallels are described as a conjunction and contra-parallel as opposition, there are no interpretation of these aspect, besides this one on cafeastrology.com (only for parallels):
Sun Parallel Moon
The foundations of the early life experiences and the nature of the family of origin play a large role in your life. There is great restlessness and need for emotional foundations in order to accomplish much else in life. You eventually figure this out and get what you need as you have great untapped capacity for emotional integration. With the acquisition of positive habits and home life, all else is good.
Sun Parallel Mercury
You place great importance on the mental faculty but you may yourself be quite nervous and temperamental. Fixing the worlds' problems starts with fixing your own physical and psychological instability. Once this is completed you are able to offer others a clarity of vision that is quite helpful in sorting out the details of normal cause and effect in your life and in the lives of others.
Sun Parallel Venus
A feeling of love and beauty fill you at some deep level and you are able to translate this into positive expectations about the future. You possess a sweetness and have a knack for creating harmony.
Sun Parallel Mars
You have a good inner drive and great recuperative powers. Your immune system works very well. You are driven by an undertone of anger much of the time. This can create rash and aggressive behavior. Getting to the root and understanding your drives helps free and strengthen your energy.
Sun Parallel Jupiter
Over-expanse gets you into trouble but your positive expectations help you gain many rewards in life. Your cheerful optimistic spirit assists you in bringing any project to a good conclusion. The ability to create more of whatever you have becomes problematic whenever you have difficulties or troubles as they can also multiply. Your mental attitude holds the key to your actions, just as your values hold the key to the way your mental life unfolds.
Sun Parallel Saturn
There is a deep melancholy aspect to your personality that will tend to color all that you do in life. You have great capacity for careful and very exacting work. There is a definite need to pay close attention to the happenings in life so that you are able to see what you do that causes difficulties and hard feelings. Patience, discipline and positive intentions are necessary to overcome feelings of distrust for life.