You can find out about the history of Rimouski with a visit to Pointe-au-Pere Maritime Historic Site. While you're in the area, stroll along the riverfront.
Though Rimouski Regional Hospital might be what brings you to town, perhaps you'll have a chance to explore more of Rimouski while you are here.
Take a campus tour or just explore the area of University of Quebec at Rimouski, during your travels in Rimouski. While you're in the area, stroll along the riverfront.