Filtering a View using the Assignee field from Gravity Flow
There's another way to assign submissions to users without using Gravity Flow's fields. Check here how.
If you wish to only display entries on your View where the Assignee field is equal to the currently logged-in user, then you must use this expression on your Advanced Filter logic:
About the Assignee field
According to Gravity Flow's documentation:
The Assignee Field is an advanced workflow field that can be added to a Gravity Form and can be used to allow users to choose between Users, Roles and other Assignee fields.