The Tower is home to the Council Chambers, which are full of trees and beautiful fountains. Sets of stairs in the anterooms lead up to the Council's audience chamber. In Mass Effect: Revelation this area was called the Petitioner's Stage. Beneath the stage is a garden protected by glass.
Many people are found in the Chambers such as politicians or individuals trying to petition the Council (like Rear Admiral Kahoku). Commander Shepard can listen in to conversations between a salarian and a turian about the rumours of Saren Arterius' involvement in Eden Prime, and about the chances of the volus getting a Council seat (next to none according to the salarian).
The Tower is not merely an edifice, it is somehow used to manually open the Citadel relay leading to dark space. When Sovereign attacked the station, it settled on the Tower and extruded cables into it.
The Council Chambers were the scene of the final battle between Shepard and Saren during the Citadel incursion. Pursuing Saren to the station's master control unit, which turned out to be in the Council's audience chamber, Shepard saw Saren die and fall through the glass into the garden below. Saren's transformation into Sovereign's 'avatar' caused the stage to collapse and the squad battled the creature in the garden until it was finally destroyed.
When Sovereign was destroyed by the Alliance and what remained of the Citadel Fleet, a large piece of debris crashed directly into the Tower. Shepard's team was almost buried by rubble and the commander was nearly crushed under it, but they were found by a rescue team led by Captain Anderson.