[Vuejs]-How to list values from a select vue.js

your div app was closing, in the middle of the html, you should change that to enclose all your app. Add v-model to your select multiple and you are good to show selected values.

<select multiple v-model="selected">

your data

  data() {
    return {
      selected: []
    }
  }

https://jsfiddle.net/gmy2hmhp/