This will be quite different for everybody and will be largely dependent on how often you train, which plan you follow and the quality of the diet you follow alongside your exercise plan.
As a rule of thumb, you will start seeing changes in your physical fitness within 1 week and you should start seeing physical changes to your body within 2 weeks.
If weight loss is your goal and you are eating a calorie balanced diet alongside your Team Body Project training routine, it is reasonable to expect between 0.5 and 2lbs of weight loss per week.