You Do Need power plug adapter while traveling from Western Sahara to Qatar.

Here is Why You Need An Adapter

The outlet and plug type used in Qatar is G and in Western Sahara are C and E. This is how they look like.

Western Sahara

In Western Sahara, outlets of type C and E are in use.

Type C

Type E

Qatar

In Qatar, outlets of type G are in use.

Type G