The bridge is beyond repair. It has to be replaced.
By July, you should be able to travel part way up through Big Sur, but you'll have to turn around at some point and return to Cambria and take Highway 46 over to Highway 101 to continue toward SF. If you only have the one night between LA and SF, you might not want to invest that much time.
That would be a huge detour. Will start rescheduling, what a pitty.
Where are you spending your next night, after you leave Cambria?
While it is disappointing, I'm not sure I would reschedule anything. You'll still have a nice time in cambria, and the longer drive up 101 is no more time than your original plan.
Next stay is in San Francisco.
I know that other drive is quite similar, but off course we miss the experience of driving along side hgwy 1.
"....I know that other drive is quite similar, but off course we miss the experience of driving along side hgwy 1.".....
No, it's not. The "other drive" up Highway 101 north of Cambria is all inland. No coastal views at all. You could, however, turn west via Highway 68 over to Monterey and drive the rest of the coastal route up to SF from there.
Seeing any part of the Big Sur coast will require some amount of backtracking.
I would switch to 2 nights in Monterey. Very beautiful more to see.
Either 2 nights in Cambria with a day trip north as far as you can go or 2 nights in Monterey with a day trip south as far as Pfeiffer Canyon Bridge would work. What's not possible is driving all the way through Big Sur on Hwy 1. Since all of the backtracking takes extra time, you may have to choose which side you want to see. Where are you staying before Cambria?