The migration view updates in real time — no refreshing needed.
The main progress card shows:

Below the main card, every package gets its own progress row. Each shows:

SharePoint packages go through an extra "processing" phase after upload — that's Microsoft's Migration API working through the files server-side. It's normal for this to take a minute or two per package.
OneDrive packages don't have a processing phase — files are live as soon as the upload finishes.
A Logs panel below the packages shows verbose output from the migration: container provisioning, file uploads, API responses, errors. Filter by severity (info / warning / error) and search for specific text.

Export logs as JSON if you need to share them for debugging — see Migration Logs.
Everything. Package breakdown, logs, errors — they're all persistent. You can revisit a completed migration from the project's migration history at any time.