Thanks for your response, Jeremy. Yes, what you suggest is the current method I use to upload local CSV files to the old/classic web viewer (e.g. from "My Content" page). However, what I really want to know is HOW to upload CSV files directly in the new/Beta Web Viewer without first creating in the old/classic web viewer and then viewing in the new.
My fear is that the old/classic web viewer and its functions will go away and there will then be no way to upload local CSV files in the new/Beta web viewer. Hopefully the old/classic web viewer will not be de-commissioned until all the features/functions from it are available in the new/Beta web viewer.
Since sending my original question I've done additional research and found my issue to be one shared by many others and from what I can tell the existing new/Beta Web Viewer isn't set up to allow import of local CSV files for creating layers, which is disappointing and a total deal breaker for me being able to use the new/Beta Web Viewer.