UPDATE: Kotlin is now pre-installed on GitHub Actions runners, no need to install it beforehand anymore.
First, ensure that you have a proper Kotlin script, ending in .kts, or better, .main.kts as that latter one will be recognized better by the IDE (e.g. IntelliJ IDEA, Android Studio), especially when it comes to autocompletion and type analysis.
Second, ensure that its first line is the shebang pointing to the right place:
#!/usr/bin/env kotlin
That will be helpful to test the script locally before running in CI, as the IDE will show a run button in the gutter, next to the shebang.
If you add the execute permission to the file (chmod +x YouScript.main.kts on Linux/macOS), you'll also be able to run it just like any other script, without having to type kotlinc -script before, and that will apply on GitHub Actions as well.
Finally, here's an example manual GitHub Action (aka. workflow file) that will take an input and pass it to your Kotlin script (usable in the args property/parameter) after it installed Kotlin:
name: Run Kotlin script
on:
  workflow_dispatch:
    inputs:
      awesome-input:
        description: 'Awesome parameter'
        default: 'You'
        required: true
jobs:
  awesome-action:
    runs-on: ubuntu-latest
    steps:
    - uses: actions/checkout@v2
    - name: Run Kotlin script
      run: kotlinc -script ./YourScript.main.kts ${{ github.event.inputs.awesome-input }}
Note that if the script has the execute (x) permission, as I told previously, you can remove the kotlinc -script part and it will still run.
Bonus: it is possible to have Kotlin code directly in the workflow file (though I'd not recommend doing it), by using kotlin as a shell.
See this YouTrack comment to see how: https://youtrack.jetbrains.com/issue/KT-43534#focus=Comments-27-4640716.0-0