[Vuejs]-Working in vue.js how am I to pull and post data from my google spreadsheet?

The problem is, that you try to enclose your JavaScript code in a <style> tag and close it with a <script> tag. That doesn´t work.

You have to use this structure:

<template>
   // Your HTML
</template>

<script>
   // Your Javsscript code
</script>

<style scoped>
   // Your CSS
</style>

You can read more about the structure of Vue.js components here: Single File Components