Will my Email Rules/Filters copy over to Bates Gmail?

No, you’ll need to recreate your rules using the Filters feature in Bates Gmail. If your desktop client allows you to export your filters/rules, you can enable a Lab to import filters.

Filters let you manage the flow of incoming messages using keywords, sender, recipients, and more. Using filters, you can automatically label, archive, delete, star, or forward your mail, and even keep it out of your Spam folder. For details, refer to the Google Help Center.