Yes, your Test Report Form is the same whether you do IELTS on computer or paper. However, with IELTS on computer, you can access and download your own digital Test Report Form, otherwise known as an eTRF.
IELTS results are accepted by over 12,500 universities, government bodies, and organisations around the world. So, if you need IELTS for study or migration, you know that your scores are accepted.
You can check who accepts IELTS here