This is NBC’s page with links to ALL LIVE Streams of Gymnastics through the Olympics; To watch (Peacock streams) on NBCOlympics.com, I think you still need to have a Peacock Subscription to watch!

Here is a more complete schedule of NBC's streaming/TV sports content for the upcoming "days" ...

NBCSports.com Schedule
https://www.nbcsports.com/watch/schedule?p=5
(click on "Load More" to see later days, or change "5" to a larger number. Currently the schedule runes to July 3rd.)

(NOTE: I do not know whether you can watch the NBCSports Digital streams without a Peacock subscription ... I assume you will at minimum need to have a TV/Streaming subscription including NBC to watch any NBCSports Digital content online!?)

For Day-1 of the Women's Olympic Trials ... it lists 8 Apparatus Streams starting at 4:40pm PDT ... 4 on Peacock & 4 on NBCSports (Digital) ... with a 4:40pm PDT "Main" stream on Peacock. Also shows an "NBC" ("Main" "Competition Day 1") broadcast at 4:40pm PDT (NOTE: As Far As I Know ... the NBC Television broadcast doesn't start until 8:00pm PDT ... you may be able to watch it online starting at 4:40pm?? Possibly a typo?).

For Day-2 of the Women's Olympic Trials ... it lists 8 Apparatus Streams starting at 5:10pm PDT ... 4 on Peacock & 4 on NBCSports (Digital) ... with a 5:10pm PDT "Main" stream on Peacock. Also shows an "NBC" ("Main" "Competition Day 2") broadcast (stream?) at 5:10pm PDT (NOTE: As Far As I Know ... the NBC Television broadcast doesn't start until 5:30pm PDT ... you may be able to watch it online starting at 5:10pm?? Possibly a typo?).