Notice the change in scale
Innere Klosterstraße works well as a short detour while visiting the market square. Its interest is not concentrated in one major attraction. Instead, the scale changes: after the open square, façades, shop windows and passages feel closer together. Following a map from one named sight to the next can make it easy to pass through without noticing that difference.
Start at one end and look along the street. Which buildings make a continuous frontage? Where does the space open out, and which connection leads towards the next square? These straightforward questions give the short section a purpose of its own. There is no need to book a tour or compile a list of every house number before exploring it.
Link the market, passage and church
The area around Rathauspassage and Jakobikirchplatz shows that central Chemnitz is not made up only of broad urban axes. Use public passages where they are open and indicated as such, but distinguish them from private entrances. A visually interesting doorway is not an invitation to enter a building.
Look above the shopfronts if you are interested in architecture. Ground floors often change more with commercial use than upper storeys do. Compare window spacing and the treatment of corners, while resisting the urge to assign a date without evidence. A feature that appears old may belong to a later phase of design or reconstruction.
An angled photograph can be more informative here than a straight-on picture of one frontage. It shows depth and the relationship between neighbouring buildings. Leave room for people to pass when stopping. A group spread across a narrow route creates a greater obstruction than the same group standing at the edge of a large square.
Keep the extension proportionate
Combine the street with an exterior look at Jakobikirche. Check any interior visit separately rather than assuming the church will be open. If you have a short gap between appointments, the route can form a compact loop back to the market without becoming another major commitment in the day.
On a longer city walk, let this remain a connection with details to discover. There is no advantage in stretching it into a half-day programme. Note something that interests you and continue. Browsing windows may be pleasant in damp weather, but the street is not a continuously covered route. Plan your clothing and next indoor pause around the actual conditions.
