[Vuejs]-How to open vuetify dialog after user logs in to application

You can use a computed property to do so:

computed: {
  isNewUser() {
     return this.$store.state.auth.user.isNewUser;
  }
}

and in the template you would do like so:

<template>
  <Intro :value="isNewUser" @input="finishTutorial" />
</template>