Don't be fooled by white breads marketing themselves as "wheat" or "whole grain" breads. Unless the packaging specifies "100% whole wheat" you're likely to be buying something that is made with plenty of sugar and refined white flour. Sure, they'll throw in a few whole grains for good measure, but this still isn't a healthy alternative to white bread. In fact, some breads marketed as whole grain contain more sugar than standard white breads.
Always check the ingredients before you buy, to make sure sugar and white flour aren't the stars of the show. If you're trying to buy a healthier bread, 100% whole wheat flour should be the first ingredient on the list. There are also some other great alternatives made from spelt flour and rye. Just always be sure to check your ingredients first.