Inside the Pimsleur app, go to "Resources" > "Course Contents." For some languages (Spanish, French), they offer PDF guides. For Russian, the PDF is limited. However, user communities have compiled the "Reading Lessons" (usually 5-10 minutes long) which do have full text. You can screenshot or transcribe these manually.
Pimsleur wants you to hear "Nyet" and say "Nyet" without the interference of the written word. This is why official transcripts are often hard to find or hidden behind specific settings in the app. Pimsleur russian transcript