Work got under way in August last year to transform the historic amphitheatre in Kelvingrove Park, which is one of only three in Scotland.
A spokesman for Glasgow City Council said work is expected to be completed in weeks with the hope the venue can be used for events including the West End festival and the Mela.
The 1924 B-listed building, which closed in 1999, will also be a focus for events during the Commonwealth Games, with a giant screen showing live competitions.
A crowd of up to 2300 people will be able to enjoy music and performances from the raised concrete seating when it opens.
The old metalwork benches are being restored, backed by a walled area for sound and lighting crews.
The entrance from Kelvin Way is also sloped around the rear seating area, to allow a good degree of accessibility.
In the bandstand itself, there is some modern brickwork front of stage, two new extensions that include showers and other facilities, plus a lift from ground level to stage. There are also two dressing-rooms and a small 'green' room.
City architects Page-Park have been in charge of the project, constructing two new extensions at each side of the rear entrance to the bandstand.
None of the bandstand's original interior could be kept, due to the presence of asbestos. The project has been led by Glasgow Building Preservation Trust with support from Glasgow Life, Glasgow City Council and a number of local groups.
It is the only bandstand to survive in Glasgow, with only two others in Scotland that include amphitheatres - although Kelvingrove's clam-shell shaped oval is unique. A Glasgow City Council spokesman said: "It is hoped work will be completed by next month. Safety checks will then be carried out."
The bandstand will be one of three venues staging events for Festival 2014, from July 19 to August 3, as part of the Commonwealth Games. Live sports from the games will be screened as well as music, dance, comedy and film.