Connect these in Settings under Connections, on the phone or in the web app. A connection works on every device you sign in to and you can disconnect at any time.
Google Calendar
Parley Notes will: see your meetings (title, time, who's invited), show them on Home, remind you before a meeting on the desktop and add an event or invite people only when you ask. Times you offer someone are held on your calendar until they pick one.
Parley Notes won't: change or delete events it didn't add.
Gmail
Parley Notes will: send an email from your Gmail, only after you confirm it. The message sits in your Sent folder like any other.
Parley Notes won't: read your inbox. The permission is send-only.
Outlook
One connection covers the calendar and email with a work Microsoft account. Microsoft asks you to allow "Have full access to your calendars" and "Send mail as you"; those are Microsoft's words for the two things above. Parley Notes won't read your mail and it won't change or delete events it didn't add.
If both Google Calendar and Outlook are connected, Google is used for new events, to avoid duplicates.
Where do the tokens live?
On your account so every device can use the connection. Disconnecting a Google service also revokes it at Google.