Lasst uns den Unterricht jetzt beginnen.

English Translation

Let us begin the lesson now.

I have altered “class” to “lesson”. Am I right in doing so?

Yes, they are synonyms.

Hmm… Maybe is due to my native language, but I tend to think about lesson more like a module or chapter in a book (Lesson 1, Lesson 2, etc.) and class as a speech in a classroom.