Dear KR,
Yes, if you are an Admin you need to grant the access to the users as per the below screenshot

In Adobe Analytics Workspace, you cannot give them read/write only access.
If the user has the Permission that includes 'Analysis Workspace Access' and 'Analysis Workspace:Save As Template', they can Save and edit your Workspace project.
If the user has the Permission that only includes 'Analysis Workspace Access' and not 'Analysis Workspace:Save As Template', they can only 'Save As' or 'Copy' the Project in their Dashboard to edit.
Hope this Helps
Regards,
Kumararaja K