Well, if you can use Firefox, then I presume you will need to install Greasemonkey and then BOB. Try following the instructions for Greasemonkey in the Conquer Club User Guides, and then install BOB, which unfortunately does not have a User Guide entry yet, so see this post: viewtopic.php?f=527&t=161049#p2104087
Apple does not allow third party browsers on it's devices. Chrome is an exception allowed only because of significant demand. The Firefox Sync only syncs your data to Safari, it is not an actual browser. This makes me highly doubtful that you will be able to run any extensions on your iPad.