You've got a limited subset of jsdoc tags to work with in Apps-script, and this is one example where there's no way to duplicate the results you see in the Services documentation. Here's a list of reported issues with the support of jsdoc in apps-script.
The only thing you'll be able to do in apps-script is to provide detailed documentation about the optional parameters in your comments. That won't help with auto-completion at all, unfortunately.
Here's an example based on How to preview jsdoc comments in google doc scripts that uses html tables to simulate the output of @param
tags, and documents two variants of a method. The screenshot is from the library documentation URL, https://script.google.com/macros/library/d/<Library-Id>/<ver>
.

/**
* Does incredible things, in a number of amazing ways.
*
* <pre>
* jsdocTest( var1, var2 )
* </pre>
* Description of the first variant.
* <table><tbody>
* <tr><td style="width: 20%"><b>Parameter</b></td><td style="width: 15%"><b>Type</b></td><td style="width: 65%"><b>Description</b></td></tr>
* <tr><td> var1 </td><td> number </td><td> Description of Number Parameter </td></tr>
* <tr><td> var2 </td><td> string </td><td> Description of String Parameter </td></tr>
* </tbody></table>
*
* <pre>
* jsdocTest( var3, var4 )
* </pre>
* Description of the second variant.
* <table><tbody>
* <tr><td style="width: 20%"><b>Parameter</b></td><td style="width: 15%"><b>Type</b></td><td style="width: 65%"><b>Description</b></td></tr>
* <tr><td> var3 </td><td> Object </td><td> Description of Object parameter </td></tr>
* <tr><td> var4 </td><td> String [] </td><td> Description of String Array </td></tr>
* </tbody></table>
*/
function jsdocTest () {
// Handle all parameters via arguments[]
}