Not sure what you saw on google CF. however beta blockers are not just for tremor, they have a number of other purposes including looking after your heart and blocking the problems of large doses of T4 and T3
IMHO although many older people have hypothyroidism and get given some thyroxine from their GP, any young working person with hyperthyroidism should really be under an endocrinologist as this needs expert management. Discuss your drug management with your endocrinologist and you won't go far wrong.