I'm assuming that you are not a Qatari, but an immigrant who has just received your RP. First of all, I'd like to congratulate you for receiving your RP. Secondly, the list of countries that the Qatari ID allows you to visit only includes your own country and those which allow citizens of your country to obtain a visa upon arrival.
In plain english, the Qatari RP does not change your status unfortunately.