[v1] docs: update README for v1

[stramel]

This does 2 things:

• Updates the README.md file to bring it inline with existing official integrations (still needs a few sections finalized as well as a migration guide written)
• Updates the website (www) to use the latest version of astro and astro-icon

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Latest commit: b8c47a48f0d9204e9aad7a005f0f6ba6d93d87aa

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Name	Status	Preview	Comments	Updated (UTC)
api-astroicon	✅ Ready (Inspect)	Visit Preview	💬 Add feedback	Jun 6, 2023 1:48am
astroicon	❌ Failed (Inspect)			Jun 6, 2023 1:48am