Bomun Lake is 2.9 mi (4.7 km) from central Gyeongju, why not stop by during your stay.
Bulguksa Temple is just one of the landmarks located 7.5 mi (12.1 km) from central Gyeongju, so you might want to stop by for a few pics during your trip. If you want to experience more of the culture Gyeongju has to offer, head to Seokguram Grotto, Gyeongju National Park, and Blue One Water Park.