The default Lnk.Bio layout and most Themes come with a border around the Lnks to highlight their content. The border looks something like this:
If you wish to remove such border, you can do so very quickly from Style => Themes.
Once you're in the Themes section, switch to the Buttons tab, as shown below:
Once the tab is open, you will see the No Border button effect. Select it, as shown below:
All done! All your Lnks will now appear without any border. Here's an example: