When will the general public be able to look at "live" detector data (live in the sense that the data was downloaded to NASA archives the day before, and the general public can download it to their local computers the next day)?
To provide some info on the question rather than where it should be posted, on the JWST Town Hall webcast conducted on fri 1/28/22 (vod), one of the presenters stated that after the calibration/commissioning efforts are completed there will be a "big" data dump posted to the stsci (space telescope ....) archive. That data will be publically available. It was also stated that only a small fraction of it would be useful for scientific analysis. The timing of this dump depends upon the progress of the calibration effort that has not yet begun. After that ongoing data should be archived routinely.
Looks like some months before this dump.