Lake Superior: You can visit the beaches at several locations. 'Little Girl's Point' and 'Black River Harbor' are the two most popular. Turn north off of US 2 on Lake Road to get to either.
Hiking: There are several waterfalls and hiking trails along the Black River. If you drive towards Black River Harbor, you will see carved wooden signs near parking lots where you can access these trails. Most trails have basic bathroom facilities available Closed during winter?.
Camping: You can camp at both Little Girl's Point and Black River Harbor for a fee. Though probably technically not allowed, almost anywhere in the woods along the Black River makes a great camp site. Start on a hiking trail, then head upstream till you find a secluded place. Don't forget to pack out all your trash so they don't clamp down on this practice!