The latest from the ECB is that they plan to start the professional season on the 1st of August, although the exact details of how the various competitions will be structured remains to be decided. I would expect that red-ball professional domestic cricket will have spectators allowed into the ground, but limited overs cricket might not, especially T20 as that attracts large enough crowds that making people keep their distance would be Challenging. Counties may, I suppose, limit attendance to members only.
No word from the ECB on the community game, but the Surrey Championship in which I normally umpire (as a club umpire, not on the league panel) is planning for a week earlier, on the 25th of July. It will not be a full league season, with no promotion and relegation, and they will only organise games for the 1st and 2nd XIs. My own club, Beddington, runs five league sides, so the 3rds, 4ths and 5ths’ fixtures look like they’ll be left to clubs to organise friendlies against near-neighbours. I normally umpire for the 4th XI (the 1st XI generally has umpires appointed by the league, and the club already has two other umpires who do the 2nd and 3rd XIs) so I should at least have some friendlies this season – and given the age of many umpires, who as a result may be anxious about exposing themselves to filthy disease-ridden players, I may be umpiring up a division or so sometimes.