The cherry-picking season is in full force now between the end of May and the first few weeks in June. Since cherry-picking is at a farm's orchards, it is considered as an "essential business" and is fully open for business. There are a few measures in places, such as wearing face masks and social distancing, but the rest is standard.
Here in San Francisco Bay Area in California, one of the top spots for cherry-picking is in Brentwood. It is about a 1-hour drive without traffic from San Jose or San Francisco. If you are planning on going later in June, cherry-picking at Gilroy, California, is another option.