The Log list page shows an overview of log entries for each session ID. Each import gets a unique session ID when it is imported. In the detailed log entries on the log card page, you can see every step from start import till end of processing the imported entry.
How detailed the log entry lines are depends on the logging setting in the ConnectIT Setup.
In the below image, the log of imported data via REST, with paging is shown. The import entry was created, and paging information was retrieved, but the import entry has not been processed yet.