An improved dry grind system and method for producing a sugar stream from grains or similar carbohydrate sources and/or residues, such as for biochemical production. In particular, after saccharification and prior to a sugar conversion process, a sugar/carbohydrate stream is removed from a saccharified stream. The sugar/carbohydrate stream includes a desired Dextrose Equivalent (DE) where DE describes the degree of conversion of starch to dextrose can be produced, with the such sugar stream being available for biochemical production, e.g., alcohol production, or other processes. In addition, the systems and methods also can involve the removal of certain grain components, e.g., corn kernel components, including protein and/or fiber. Sugar stream production occurs on the front end of the system and method.