Veterans Travel Equity Act of 2009 - Prohibits the Secretary of Veterans Affairs, effective 90 days after the enactment of this Act, from imposing any income or pension eligibility requirement, or requiring any service-connected disability rating, in order for a veteran to be eligible for an allowance or reimbursement under the beneficiary travel program (a program authorizing a travel allowance or reimbursement for the transportation of veterans to obtain medical care).