No, you don't need to remove your physical SIM card or delete your eSIM.
Since eSIM is a digital SIM that can be downloaded directly to a device, everything from setup to use can be completed on a single device.
After installation, you can immediately start using the Internet by simply checking that the eSIM is set as the preferred line in the "Mobile Communication Settings" of your device. Operation is simple, and even first-time users can complete the process in just a few minutes.