Well technically there was not a single allied France. But two. De Gaulle free French did not receive Lend and Lease stuff (thus the 1st Division Motorisee was equipped with UK material until late in the war) because the US government did not recognize him (well technically he was a mutineer). When the US and the UK invaded North Africa and the bulk of the french colonial troops switched sides they benefitted from US L&L (slowly). The 2nd Division Blindee was formed at the time but was initially separated from the the Free French (even if a known gaullist took command). when Vichy france was 'closed down' by the Germans the French colonial government became defacto the only Frech authority recognized by the US (and De Gaulle sneaked in). Still De Gaulle was not in control of everything and everyone. De Lattre was not really keen on him for example. After the liberation of Paris a provisional government was set up and the mutineer took more charge... The new french army was thus equipped with L&L material.
But until 1949-50 L&L material (or what was left after the end of the leases) was not allowed in Indochina (so instead of seeing M4A2/3/4 you see scrounged up M4A1). The French were begging the British for equipment, scrounging their own stuff, and the Japanese leftover. The Mao took over and the US started to see Asian communists everywhere... so US supplies started to arrive.