I noticed that this has not been added yet so in case anyone has questions about it, here it is.
In ServiceDesk 7.5 by default there are no permissions added to the Process View page when the incident is created.
It is required to set up the Automation Rule to set the required permissions.
Go to Admin > Process Automation > Incident Management Service Dashboard.
Click the lightning bolt icon for OnIncidentReceived ruleset and select Add Rule.
Set the condition to Any, click the plus icon to add.
Add Action, in the drop-down list select Grant Ticket Access, in the next drop-down list choose if the access needs to be granted to specific group or specific user. Under Parameters select appropriate Can Administrate, Can Edit and Can View permissions (Allow/Deny). Click the plus icon to add the configured Action.
Under Advanced Option you can choose whether to run next rule if condition or action fails to evaluate.