Senior's Health Care Choice Act of 2001

Senior's Health Care Choice Act of 2001- Amends title XVIII (Medicare) of the Social Security Act (SSA) to provide for Medicare coverage of the following preventive services: (1) counseling for cessation of tobacco use; (2) screening for hypertension; (3) counseling for hormone replacement therapy; (4) screening for diminished visual acuity; (5) screening for hearing impairment; (6) screening and counseling for osteoporosis; and (7) screening for cholesterol.Amends SSA title XVIII to provide for expansion of Medicare coverage of: (1) medical nutrition therapy services to beneficiaries with a cardiovascular disease; and (2) glaucoma screening to cover individuals with myopia.Removes from exclusions from Medicare coverage for certain items and services (thus including in such coverage) routine annual physical checkups, routine annual dental examinations and cleaning, and routine annual eye examinations.Amends SSA to add a new title XXII (Medicare Prescription Drug Benefit Program) requiring the Secretary of Health and Human Services to establish a Prescription Drug and Supplemental Benefit Program under which an eligible beneficiary may voluntarily enroll and receive access to covered outpatient prescription drugs and other benefits through enrollment in a Medicare Prescription Plus plan offered by a private entity or a Medicare+Choice plan (under Medicare part C (Medicare+Choice)) offered by a Medicare+Choice organization.Establishes a Medicare Prescription Drug Account in the Federal Supplementary Medical Insurance Trust Fund under Medicare part B (Supplementary Medical Insurance).Provides for prescription drug coverage under the Medicare+Choice program.Provides that no new Medicare supplemental health insurance (Medigap) policy that provides coverage of expenses for prescription drugs may be issued to an individual on or after January 1, 2003, unless it replaces a Medigap policy issued to that individual that provided some coverage of expenses for prescription drugs.