'I look forward to' is more official and is frequently used to end business letters. It suggests that you expect the reader of your letter or email to take the following step. It's perfect for writing emails, reports, bids, and other business documents. 'I look forward to hearing from you.' This sentence is equally as official as the previous one but in this case, it means that you are waiting for a response from the person reading your email. You can use it after sending an email to someone you haven't heard back from yet. 'I look forward to seeing you on Friday.' In this context, 'look forward to' means that you are excited about something - in this case, it's going to be fun seeing your friend again. You can use this sentence when you meet up with someone for the first time in a while. It's good to write if you're making plans with some other people too; just make sure you use the right form of words depending on who you're addressing! 'I look forward to learning with you.' For example, if you were studying for an exam then you could say that you looked forward to learning more about subjects that you weren't too familiar with.