The Governor, when calling a special session, shall file the proclamation calling the session with the Secretary of State. As of today, there is only one other special election scheduled for this month.The Illinois General Assembly is organized into a two-year cycle of legislative activity called a biennium. This resource collects important projected dates for the upcoming state legislative sessions. Bills are numbered in order from the time of introduction and continues throughout the entire General Assembly session, which is two years long. The General Assembly meets in the Illinois State Capitol in Springfield, Illinois. The General Assembly meets in the Illinois State Capitol in Springfield, Illinois. Lawmakers are running out of time to reach a budget deal for this year. But now, they say there's a new plan. The General Assembly reconvenes for two weeks in the Fall to consider the Governor's vetoes.