At Walking Distance:
Grocery store, pharmacies, banks, post offices, city buses
Many great restaurants; notably SEBBY`S Steak-house
The pedestrian circuit of Lennoxville (2.22 km)
The microbrewery the Lion d`Or
Bishops University (1891) and Champlain College
The Uplands cultural centre (1862)
Etc

To Discover Just Next Door:
The Milby Golf Course
Fruit and vegetable auto picking (Wera Farm, Gosselin`s Orchard, Framboisiere de L`estrie)
L`Epopée des Mines de Capelton (1890)
North Hatley Village
The Orchard `le Gros Pierre` or the garden La Val`Heureuse in Compton
The covered bridges of Milby (1873) and Eustis (1908)
The covered bridge and round barn in Coaticook
Johnville Bog & Forest Park
Etc…

A little further, but worth checking out:
The Tourist train starting in Sherbrooke Orford Express
Guided tour of Sherbrooke Traces et souvenances.