get https://{baseUrl}/V1/storeview//user/quote
Get quote details. This includes information like quote id, items, customer details, address etc. The way to use it is to get a token via customer auth endpoint and pass that token as Authorization (bearer).
Sample Curl
curl --location 'https://mygatewayurl.com/V1/storeview/default/user/quote' --header 'Authorization: Bearer qsk2p2azmuylkcgsuhhkbale7vk571vn'.