Veterans Earn and Learn Act

Veterans Earn and Learn Act - Adjusts the Montgomery GI Bill veterans' educational assistance entitlement charges for each month that an eligible veteran is paid a job training assistance allowance through the Department of Veterans Affairs. Increases such charge for any month in which the veteran fails to complete 120 hours of such training.Directs the Secretary of Veterans Affairs to pay a lump-sum incentive payment to an individual who successfully completes a full-time program of job apprenticeship before his or her assistance allowance is exhausted, under the educational assistance programs for: (1) the post-Vietnam era; (2) survivors and dependents; and (3) the Selected Reserve.Increases the assistance payable under such programs for each month in which an individual pursuing a full-time program of apprenticeship or other on-job training is also enrolled in a course of classroom instruction related to such training.Directs the Secretary, when determining the period of a competency-based program of apprenticeship, to consider the approximate program term in registered apprenticeship program standards recognized by the Secretary of Labor.Requires the sponsor of any job training to notify the Secretary upon the successful completion of that program by the veteran or other eligible person.Directs the Secretary to conduct a pilot program of up to three years for training Department employees to become qualified adjudicators of claims for veterans' compensation, dependency and indemnity compensation, and pensions.Requires the Secretary of Defense to furnish to the Secretary, at the time of a member's discharge, pertinent information concerning each registered apprenticeship pursued by such member during his or her service.