After running a benchmark on your device, you can tap the three dots in the top right of the result screen to open a dropdown menu. In the dropdown menu, you should see an option titled "View Online", which will open the benchmark result in the Geekbench Browser with your default internet browser.
If you're already logged in to the Geekbench Browser, the result will be added to your account there. If you aren't logged in, it should prompt you to log in and add your result to your account.
If you run into any trouble with this process or have any other questions, please let me know and I would be happy to help out.