Gruntfile that uses grunt-shell to run grover.

Gruntfile.js

module.exports = function(grunt) {
	'use strict';

	var files = ['src/**/*.js', 'test/**/*.js'];

	grunt.initConfig({
		jshint: {
			options: {
				jshintrc: '.jshintrc'
			},
			files: files
		},
		shell: {
			grover: {
				command: 'grover --phantom-bin phantomjs ./test/test-runner.html -o ./grover.json --json',
				options: {
					callback: function (err, stdout, stderr, cb) {
						var fs = require('fs'),
							data;

						data = JSON.parse(fs.readFileSync('./grover.json'));

						console.log(stdout);
						cb(!(data.failed || data.errors));
					}
				}
			}
		},
		watch: {
			scripts: {
				files: files,
				tasks: ['shell:grover', 'jshint']
			}
		}
	});

	grunt.loadNpmTasks('grunt-contrib-jshint');
	grunt.loadNpmTasks('grunt-contrib-watch');
	grunt.loadNpmTasks('grunt-shell');
	// n.b. this task doesn't work on Windows
	grunt.loadNpmTasks('grunt-notify');

	grunt.registerTask('default', ['watch']);
};

package.json

{
  "name": "whatever",
  "version": "0.0.1",
  "devDependencies": {
    "grunt": "~0.4.1",
    "grunt-contrib-jshint": "~0.1.1",
    "grunt-contrib-watch": "~0.3.1",
    "grunt-notify": "~0.1.4",
    "grover": "~0.1.13",
    "phantomjs": "~1.8.1-1",
    "grunt-shell": "~0.2.1"
  }
}

Instead of setting up PhantomJS to be on my path I installed the NPM wrapper and created a symbolic link to the bin provided by the wrapper:

ln -s ./node_modules/phantomjs/bin/phantomjs phantomjs

There is now a grunt plugin specifically for doing this
https://www.npmjs.com/package/grunt-grover