It is held in the grand council chamber and is presided over by the Lord Provost.
Full council is a time of pomp and circumstance, when elected representatives from all parties can raise issues that particularly interest them. It is a chance to get on their feet and plead for their cause to be accepted.
This week, eight motions are due to be debated by full council covering topics as diverse as Prestwick Airport, poverty, the privatisation of Royal Mail, the co-operative movement, the UK Government's 2010 Spending Review, social security and football.
Council leader Gordon Matheson is worried the Scottish Government's decision to give assistance to Prestwick Airport could be at the expense of the continued growth of Glasgow Airport.
He points out Glasgow Airport serves more than seven million passengers each year, travelling to 90 global destinations, and plays a significant role in the city's economy.
Green Party councillor Martha Wardrop will highlight the problems faced by women living in poverty. She will point out there is a disproportionate number of lone mothers in the city's most deprived neighbourhoods.
She will call for the council to talk to women's organisations to help address the challenges facing women in poverty.
Next up will be former postman Matt Kerr, now Labour's social work spokesman, who will suggest council should be "greatly concerned by the Government's rushed and shambolic privatisation of the Royal Mail." He will demand a public inquiry be held into what he describes as the mishandling of the process.
A rchie Graham, the chairman of Glasgow Life, wants to help boost the city's growing co-operative movement and will ask that existing co-operatives be identified to help fill any gaps.
Green Party councillor Kieran Wild plans to go all technical and to debate something called Digital By Default and the Needs Enhanced Support project being piloted in the north of England.
SNP councillor Mhairi Hunter is worried about the changes to the appeals system applied to social security benefits, particularly for those in receipt of Employment and Support Allowance.
The final councillor to take the spotlight - if time allows - will be the SNP's David McDonald.
He wants the council to give its full backing to expressions of interest made by the Scottish Football Association for Glasgow to be a host venue for the Uefa European Championships in 2020.