Stephen Holl's design for the new building, opposite the Mackintosh Building in Garnethill, involves three "driven voids of light".
Two of these shafts are now in evidence on the construction site, whose main contractor is Sir Robert McAlpine.
The voids of light will allow natural light to permeate throughout the new building.
Also visible in the large building site are massive yellow braces to shore the sides of the 40ft-deep hole.
The new building is due to open next year.