I'm new to the APEX development world, though I have quite a bit of experience using the API.  I feel like I'm very close to getting this to work, I just want to increase my test coverage of my trigger.  The trigger has two tasks:

1.  After the record has been inserted, a field should be updated

2.  Send an e-mail

The trigger is pretty simple:

trigger UpdateMostRecentCommentOnCase on CaseComment (after insert) {
	Case relatedCase;
	Contact relatedCaseContact;
	Messaging.Singleemailmessage customerEmail;
	
	for (CaseComment caseComment : trigger.new) {
		//Find the related case.
		relatedCase = [SELECT Id FROM Case WHERE Id = :caseComment.ParentId];
		
		//If the case was found, updated the most recent comment.
		if (relatedCase != null) {
			relatedCase.Most_Recent_Case_Comment__c = caseComment.CommentBody;
			update relatedCase;
			
			if (caseComment.IsPublished == true) {
				//Fetch the related case contact.
				relatedCaseContact = [SELECT Email FROM Contact WHERE Id = :relatedCase.ContactId];

				if (relatedCaseContact != null && relatedCaseContact.Email != null) {
					customerEmail = new Messaging.Singleemailmessage();
					customerEmail.setToAddresses(new List<String> { relatedCaseContact.Email });
					customerEmail.setReplyTo('foo@bar.com');
					customerEmail.setSubject('New comment for case ' + relatedCase.CaseNumber);
					customerEmail.setTemplateId('myActualIdIsHere');
					
					Messaging.sendEmail(new List<Messaging.Email> { customerEmail });
				}
			}	
		}
	}
}

 The test class that I have is very simple as well, though, I am not entirely sure how to test e-mails with the test methods:

@isTest
private class TestCase {
    static testMethod void testUpdateMostRecentCommentOnCase() {
        Case testCase;
        CaseComment testCaseComment;
        Contact testContact;
        Contact testQueriedContact;
        Messaging.Singleemailmessage testEmail;
        List<Messaging.Sendemailresult> testEmailResults;
        
        testContact = new Contact();
        testContact.FirstName = 'Foo';
        testContact.LastName = 'Bar';
        insert testContact;
        
        testCase = new Case();
        testCase.Subject = 'Test Case';
        testCase.ContactId = testContact.Id;
        insert testCase;
        
        test.startTest();
        
        testCaseComment = new CaseComment();
        testCaseComment.ParentId = testCase.Id;
        testCaseComment.CommentBody = 'Test Case Comment';
        insert testCaseComment;

        //What else do I need here to test?
        
        test.stopTest();
    }
}

This only puts me at 52% code coverage; everything after the comment, "//Fetch the related case contact." is not covered.

How do I provide coverage for the e-mail piece of the trigger?

Thanks for any input!