For all of you too lazy to actual find out what is going on in Egypt here is a great summary I found in, credit to Hossam:
The people are protesting against the president Mubarak who has been in reign with his own regime for 30yrs (Bloggers edit: He also is trying to make his son the successor and this has outraged people who were hoping when he leaves that his regime would be over, instead he is creating a dynasty and he uses the military as a political tool).
They have been influenced by the success of what happened in Tunisia. They want more freedom, more jobs and food prices to go down.The internet has been shut down because it is a way of communicating and protesters can gain support etc in this way. If you are shut down from communications you are more likely to stay at home and do nothing. Mobile phones are not working either. They have also closed down international news channels on TV so the locals do not know what is happening.