Found it strange that some parts of media decided to focus on the semantics of Google and Verily being different subsidiaries of Alphabet. This is an almost meaningless detail.
Because what was said in the press conference is very, very, very, very, very, different from whats going on inside Google and Verily. Think: someone had an idea for a much, much, more limited in scope project for a very small area _that morning_. Not a nationwide exposure detector somehow built by 1700 engineers to be launched in the next week.
This effort for a nationwide testing website is different from and in addition to what Verily was already doing at a smaller scale in Bay Area (although I imagine there will be lots of overlap and shared code etc.)