Israel will begin their campaign against Luxembourg in Rishon Lezion on 16 May, the same day that holders the Netherlands start their title defence against Bulgaria in Lod.
Sterling poked home the first cross from Shaw and Kane headed home a Grealish cross for the second.
If the Three Lions can get past the next round, they will host the semifinal and final at Wembley Stadium in London.
After 55 years, England defeated Germany in a major competition.
Italy advances to its fourth-ever Euro tournament final and the second in the last three editions of the competition.
Original Euro 2020 tournament will be held in 12 cities in 12 European countries from 12 June to 12 July 2020.