Speak to people you know, someone may refer you.
Technically, entry level roles should be only for Qataris.

I've been looking for a job in HR for a while and also finding it very difficult. It looks like the very low level HR (administrator jobs) are for males only, and a lot of more senior roles are... well... Qatarisation, as you may have heard. Recruitment is probably your best option, I agree with FU.