Like others in the colony, Dunière lobbied the British authorities for representative government. In 1792, he was elected to the 1st Parliament of Lower Canada for Hertford. Dunière proposed Jean-Antoine Panet as speaker for the legislative assembly; Panet was chosen as speaker despite the opposition of some British members of the assembly.
Dunière, similar to other colonial representatives, advocated for representative governance with the British authorities. In 1792, he was elected as a member of Lower Canada's first parliament representing Hertford. Dunière suggested Jean-Antoine Panet for the position of speaker; although some British members opposed this choice, Panet was eventually selected.