Hi @sarahbrooks
The users would need to be assigned a security role in dataverse - a role that has the required level of permissions for different actions such as Create, Read, Write etc.
1. Go to the Power Platform Admin Centre
2. Select the environment in which the app is built and go to its settings
3. Under Security, look for the security roles.
4. Either assign a security role that closely matches the user's profile or make a copy and amend permissions on that copied role before assigning the copied role to the users.
5. If you have created any custom tables, they wouldn't have any permissions assigned by default so you'd need to do so by finding those table in the Custom Entities/Tables tab.
6. The User level permission will allow user to perform the action on a particular table record only where the user is the owner of the record. E.g. User Level permission for Read action on a custom table 'Quality Sample' will allow the user to only see records that they own.
Here's the link with further information:
https://learn.microsoft.com/en-us/power-platform/admin/security-roles-privileges
I hope this information helps. Please give my reply a Thumbs Up if you appreciate my efforts. If it helps resolve your query then please accept it as a solution.
Kind regards
Gulshan