There hasn't been any announcement yet of a release date.
The Last of Us Part 1

In June, Naughty Dog and Sony announced that The Last of Us Part 1 would be coming to PC in addition to PlayStation 5. We were given a firm release date of September 2, 2022 for the PlayStation 5 release. Most fans probably expected the PC release to arrive months after the PlayStation 5 release, but that may not necessarily be the case.

Senior environmental texture artist at Naughty Dog, Jonathan Benainous, responded to a Twitter inquiry about when we might get to play that PC version. According to Benainous, the PC release should be coming "very soon" after the PS5 version is released.

Obviously, we don't really know what is meant by "very soon" in this case. Typically, PC releases of PlayStation 5 games come months, if not years, after the release of their PlayStation versions.

Neither Sony nor Naughty Dog have made any sort of an announcement as to when the PC release will actually be out. It is also not clear if the PC release will also retail for $70 (USD) as the PlayStation 5 version retails for. This price is still a huge point of contention with fans and PlayStation 5 owners.