One of the things that made me successful in my internship at Intel and eventually helped secure my return offer was that I made an effort to make sure my colleagues and, most importantly, my boss knew that I was having a great time there and wanted to come back full-time. As Robert already mentioned, Intel is full of driven employees whose work speaks for themselves and likely your boss has already formed a pretty good idea of the quality of your work. If you really want to work there, make sure to tell them! There are plenty of smart people looking for work, but the ones that stand out are those who make sure to make others feel included and supported. Telling others that you want to continue working with them is one of the ultimate compliments because it shows that you really do like to work with them.
Due to the nature of our business, Intel is made up of a lot of Type A personalities. We therefore value people who are self-starters, are passionate about the quality of their work, completes projects as agreed to, and takes it upon themselves to learn. Intel also believes in establishing a pipeline of talent, so we give interns an opportunity to return and potentially get an offer of employment. Once you get an internship, it is important to complete your projects and treat your internship as a professional job and a summer long interview. Understand the group that you are working with, who they are, and what they are doing.