Bonjour Ann !
Have a look at the following lesson:https://progress.lawlessfrench.com/revision/grammar/using-le-la-les-with-titles-languages-and-academic-subjects-definite-articles
Also there is a difference between "un peu" and "un peu de" in French, the same way as "a bit" and "a bit of" in English.
In this case, he's saying "I'm going to speak a bit French", i.e. "I'm going to speak French a little", hence "un peu".
I hope that's helpful!
Bonne journée !
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