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GH-45140: [Dev][Release] Release guide improvements (#45141)

### What changes are included in this PR?

Updates to the release guide. Mostly changes to make the guide up to date with how release are being done currently.

### Are these changes tested?

Previewed locally.

### Are there any user-facing changes?

More accurate docs.

Fixes #45140 
* GitHub Issue: #45140

Lead-authored-by: Bryce Mecum <petridish@gmail.com>
Co-authored-by: Sutou Kouhei <kou@cozmixng.org>
Signed-off-by: Bryce Mecum <petridish@gmail.com>