How well did France handle the changes brought by the results of World War II and the loss of its colonial Empire?
They're still struggling with the aftermath. The percentage of France's population that follows the Muslim faith is growing rapidly as immigrants from countries that are former colonies move to France, and the society is not always dealing well with these newcomers and their ways of life.
The French engaged in two brutal and ultimately unsuccessful wars to retain their colonies, wars that can be traced to French desires to maintain national power in the wake of their marginalization by the two superpowers. As the previous post says, these wars were unnecessary and contributed to major internal strife within France itself, including the discontent of the late 1960s.
I don't think they dealt with it very well. This was particularly true of the way that France dealt with its former colonies of Vietnam and Algeria. They tried to hold on to both colonies for too long. In particular, they waged a long and brutal war in Algeria that was unnecessary and unhelpful to their long term interests.