What type of genre is Sense and Sensibility?
Romance, or possibly satire.
Sense and Sensibility was set in some time around 1805 to 1811. We do not have dates on the settings of Jane Austen's books, except to say she was writing about people of her own time. Sense and Sensibility was published in 1811, and since Jane Austen was a very careful writer who rewrote and edited her work extensively, we can guess that the work was first envisioned years before that.