Kimble County Historical Museum is 0.5 mi (0.8 km) from central Junction, why not stop by during your stay. If you want to experience more of the culture Junction has to offer, head to South Llano River State Park, Schrier Park, and Texas Tech University.
Sightseeing doesn't have to be expensive. For some things to do in Junction, stroll along Llano River or you can get outdoors at South Llano River State Park. Be certain to include a visit to Schrier Park.