Short answers, pulled from the story.
The National Convention decreed on the 24th of October 1793 that the new calendar would begin its first year on the 22nd of September 1792. This specific date marked the proclamation of the French First Republic which had occurred three days earlier.
Each month contained twelve weeks called décades consisting of ten days each named primidi through décadi. The tenth day known as décadi replaced Sunday as the official day of rest to reduce the influence of the Roman Catholic Church on daily life.
Days were divided into ten hours each hour containing one hundred decimal minutes and each minute held one hundred decimal seconds. Mandatory use of decimal time officially suspended on the 7th of April 1795 though some cities continued using decimal time until 1801.
Napoleon signed an act dated the 9th of September 1805 abolishing the calendar officially due to flaws involving the uneven course of the sun and unpopular labor conditions. The decree referenced a report listing two fundamental flaws regarding its implementation before declaring it abolished on the 1st of January 1806.
French frigates named Floréal class bear names derived from Republican months while Émile Zola titled his novel Germinal after the calendar month. Lobster Thermidor was named following an 1891 play set during the Revolution and J.R.R. Tolkien adapted these months into Elvish language for his Nûmenorean Calendar system.