The 'conference bike' was on show as part of the A Better Way to Work event to get more people cycling to work.
The scheme, which aims to promote sustainable transport and encourage people to leave their cars at home, is run by The Bike Station – Glasgow's recycled bike project.
It offers incentives to individuals, businesses and community groups to give it a go.
A vintage Glasgow Corporation Bus was also in the Square and visitors could hop on to have a look.
It was on show from the Vintage Vehicle Trust, which promotes the restoration, preservation and use of historic passenger-carrying and commercial vehicles.
A whole range of two, three and four-wheeled and electric bikes was on display and experts offered advice for cyclists.
The event coincided with European Mobility Week, last week, which aims to make people aware of public transport, cycling and walking.
Other organisations which promote sustainable travel were also in the Square, including cycling development charity Free Wheel North, which owned the 'conference bike', and the City Car Club, which offers local businesses and individuals cars to hire.
Based in the West End, The Bike Station sells donated bikes which they have renovated, as well as offering a range of services to encourage more people to cycle.
Victoria Leiper, A Better Way To Work campaign manager at The Bike Station, said the event was a huge success.
"The project is designed to encourage a modal shift towards active and sustainable travel by providing incentives which make this a reality.
"If we can show people that cycling, for example, can be fun and social, they may be more likely to try it as a form of transport and reap the many benefits.
"Having the vintage Glasgow Corporation bus at the event was also a real talking point and encouraged the public to find out about our free services which include public transport offers, car sharing initiatives, eco-driving lessons as well as cycle training and a short-term bike loan."