Take a look at the pg_stat_archiver view, if you have not already:
So I want to check how many wal file got created in x minutes and how many .ready files got created in those x minutes.
It's not clear why you would want to track .ready files, they should be quite transient, and not a concern unless you are rolling your own archiving system (which you should not be). But Ron's suggestion of inotifywait is a good one for this. Probably listed as inotify or inotify-tools in your packaging system. Basic usage would be something like this, from the data directory:
timeout 10m inotifywait pg_wal/ -r -m -e close_write -o walinfo.log
Cheers,
Greg
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