The french and english have always throughout history have always been in conflict. In fact the duration of the conflict was called the 100 years war.
Both colonies had parts of North America but both wanted to expand their colony West of the Ohio River Valley causing more conflict between them
The french and Indian war began in 1754 in North America, but in 1756 it went worldwide. Both colonies recruited natives for help in the war.
The French take early success of the war, by capturing some of the British's war plans and by capturing forts around the great lakes.
The English later gain leverage by capturing forts from Ohio to Canada. Many of the french allies withdrew from the war after getting blamed for spreading illness. The British knew they had won the war once they captured Montreal.
Once England won the war France signed the treaty of Paris giving almost all of their land in North America to the British, so now almost the whole North America was the British's.