Thomas P. O'Hara Public Land Career Opportunity Act of 2006 - Amends the Alaska National Interest Lands Conservation Act to provide competitive status to certain permanent federal employees in Alaska after: (1) if the appointment is full-time, the completion of two years of competitive and satisfactory full time service; or (2) if the appointment is less than full time, the period that is equivalent to two years of competitive and satisfactory full time service.