The data from the mission will be made public after proprietary periods [1]. They have an archive [2]. I don't expect that the raw telemetry will be made available, but the raw science data in FITS format appears will be available.

[1] https://jwst-docs.stsci.edu/jwst-opportunities-and-policies/... [2] https://archive.stsci.edu/missions-and-data/jwst