The venue is in a thriving district of Leipzig with many restaurants. You can explore many more of them if you head south along Karl-Liebknecht-Str. alias "Karli".
Right across the street:
North:
South:
Leipzig has a lot of green areas for a major city with many public parks.
Leipzig grew around one small historic city center with around 500 meters radius. You can easily explore the most important places by walking--just as you leave the main station and cross the road you enter the city center inside the inner city road ring. Use the bus tours to get a wider view of the greater city:
Leipzig played a key role in the peaceful revolution that lead to the reunification of Germany in 1989/1990. It is also known for some of most famous German musicians that worked here and a history of trade with its trade fair since the 12th century.
The city has some iconic pieces of architecture from different times and styles and multiple districts completely preserved from one era. Although the city had some hits by bombs in World War II luckily it was not as devastated as other cities, e.g. Dresden.
Very close to city center:
Inside city center: