It takes a few steps but it isn’t too painful.
Open LinkedIn on a desktop computer and click your Me profile icon at the top.
Select Settings & Privacy from the dropdown menu.
Click Data privacy on the left-hand navigation pane.
Click the second (currently) menu item on the right Download your data (or Get a copy of your data).
Choose larger data archive.
Click Request archive and enter your password if requested.
Wait for an email from LinkedIn with a download link (usually arrives within 10 to 24 minutes, though it can take up to 24 hours) or just check back and reload the page.
Download the zip file
Your 1st-degree connections are listed in the Connections.csv file with name, email (just a few 😉), company, position, LinkedIn url, and date connected.