Hollande arrived for the summit in the Japanese town of Ise-Shima on Thursday.
The summit was set to discuss reviving the world economy and fighting terrorism.
Hollande's office indicated that he intended to "continue the momentum started at the Cop21 on global warming and make progress on fiscal transparency and the fight against the financing of terrorist activities".
With American President Barack Obama in attendance, Hollande was also intending to express his opposition to the TTIP transatlantic trade deal "at this stage" in negotiations between the US and the European Union, describing what was on offer as "free trade without rules".
France also hoped to propose new initiatives on health and the price of medicines and the "preservation of the cultural heritage from terrorist attacks", following the destruction by armed Islamists of sites in Timbuktu in Mali, Mosul and Nimrud in Iraq and Palmyra in Syria.