Go to the MOI site, on your right hand there are several links

http://www.moi.gov.qa/site/english/

Depending on what do you need to check, Visa Approval tracking, Visa enquiry and printing and RP application Tracking & printing.

But you will need the following numbers or items

*Application number and/or date of application and/orID of sponsor with these you can follow up on the status of the visa/or RP.

Regards!!