The only things you need to monitor are: brown rice/potatoes/pasta and Cold cereal w/milk which you can only have as a "freebie" once per day.
Bread is not core and must be counted as would extra servings of the above. You can however have other "good carbs/starchy foods" with your meals such as peas, beans, corn, squash, couscous, buckwheat, cornmeal, quinoa, etc.
While the Core plan is not technically low carb it is primarly based on good carbs w/a low glycemic index which do not affect blood sugar in a negative way.
Good luck!
Frouf