I am building an integration component using a graphical framework who has a pre-build OAuth2 connector. This framework required following fields for OAuth v2:
Access tokens typically expire after 60 minutes. If you have a refresh token you can use the refresh token to get a new (valid) access token.
This doc explains how to do that:
https://developers.google.com/accounts/docs/OAuth2WebServer#refresh
To answer your overarching question, yes, you are approaching everything correctly. All you need to do is handle the case where the access token has expired by refreshing it. Also, when you originally requested the access token the response should tell you how long it's valid for, so you should only refresh that token if it's expired.