There is a YouTube app for the iPhone that works on the iPad.
There is also a YouTube client called Jasmine that works very well. It is free, although there is a PRO version for a couple of dollars. The advantage of this one is that it is built for iPad and runs in full screen.
The IPad Forum is a community of members from all walks of life and from all over the world coming together to share our experiences and to help each other learn about this wonderful piece of technology the Ipad. There is a wealth of information already here in the many threads we have so doing some searches will answer most of the questions you have. If then you cannot find the answer you are seeking then by all means post your question. There are many friendly and informed members here only too willing to help you.