It is slowly being felt by me that learning French will give me access to the rich mathematical literature of France. I will be obliged if someone would please refer me to a source or book where I can learn to read a bit of French for my mathematics education. I know it is not easy but I would be happy to learn your language. I am fluent in English.
Having the same issue in the opposite way, the best advice I have is to rely on Wikipedia's interwiki, both for the style and for the vocabulary. Try to read the same proof in French and in English and to see how sentences and symbols map1, if you need a translation of a word, look at the article in (en), then follow the interwiki to (fr). It works for almost everything2.
I expect that you will get the structure fairly easily, as it is doesn't change much between proofs. Just be aware that the philosophy of mathematics is not quite the same in France and in Anglo-Saxon countries. France remains under the influence of Bourbaki, whereas many Anglo-Saxon mathematicians now disregard this approach.
1. & 2. Haha
Si l' arithmétique vous intéresse, je vous recommande chaudement le petit livre de Pierre Samuel Théorie algébrique des nombres, publié chez Hermann.