A data-only eSIM gives you internet access on your phone but does not come with a local phone number, and it does not carry traditional voice calls or SMS text messages. You get mobile data, and that is the point. It is a one-off prepaid purchase for a trip, not a phone contract or a monthly line, so there is nothing to cancel and nothing that renews.
For most travellers this covers almost everything they actually do on the road: maps and navigation, translation, ride-hailing, booking apps, browsing, social media, and streaming. When you do need to talk to someone, you use an internet-based app such as WhatsApp, FaceTime, Telegram, or Signal, all of which run over the data the eSIM provides. Where your handset supports it, wifi calling can also route regular calls over a data connection, which is handy on hotel or cafe networks.
Not having a local number is usually a feature rather than a limit. Your home number stays reachable for the messages that matter, and you avoid the cost and hassle of roaming on your normal line. The one thing to keep in mind is any service that insists on sending an SMS code to a phone number, since a data-only line cannot receive one; set up those logins before you leave.
If you are new to the format, the complete eSIM guide explains how an eSIM works from purchase to activation.