Defending women’s champion Barbora Krejcikova opens play on Centre Court at 13:30 BST.
The Czech – who suffered an injury scare at Eastbourne in the lead-up to Wimbledon – will face world number 56 Alexandra Eala of the Philippines.
Novak Djokovic, the seven-time champion bidding for a standalone record 25th Grand Slam title, begins his campaign against Alexandre Muller of France, followed by French Open champion Coco Gauff against Dayana Yastremska.
World number one Jannik Sinner is first on Court One from 13:00 BST, taking on Italian compatriot Luca Nardi, before two-time champion Petra Kvitova begins her final Wimbledon campaign against 10th seed Emma Navarro.
Draper, at fourth the highest-ranked home player at SW19 since Sir Andy Murray was the number one seed in 2017, rounds off play against Argentina’s Sebastian Baez.