You Do Need power plug adapter while traveling from Qatar to New Caledonia.

Here is Why You Need An Adapter

The outlet and plug type used in New Caledonia are C and F and in Qatar is G. This is how they look like.

Qatar

In Qatar, outlets of type G are in use.

Type G

New Caledonia

In New Caledonia, outlets of type C and F are in use.

Type C

Type F