If I do a site wide 301 redirect from HTTP to HTTPS, will Google update its index with the new URLs?
- Ensure you don't have a 301 redirect chain like:
Once I had a 301 redirect chain only for some pages, and guess what? Those pages had "difficulties" to get updated in Google.
Also, Matt Cutts from Google said you should not have redirect chains.
The best example of a switch from HTTP to HTTPS, that's facebook. Look at facebook search results in Google. they are all HTTPS.