[stable10] Bump README.md doc links to 10.1

[phil-davis]

Description

Make the doc links in the GitHub README point to what will be the new release.

Only merge this after the 10.1 docs have been published.

Motivation and Context

Use the most current doc links for people clicking from GitHub.

How Has This Been Tested?

N/A

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Database schema changes (next release will require increase of minor version instead of patch)
• Breaking change (fix or feature that would cause existing functionality to change)
• Technical debt
• Tests only (no source changes)

Checklist:

• Code changes
• Unit tests added
• Acceptance tests added
• Documentation ticket raised:

Open tasks:

• Backport (if applicable set "backport-request" label and remove when the backport was done)

[phil-davis]

See #34402 for the master version.