I only seem to have some bad news for you.

1. It is not possible to customize Google Docs Forms in another way than using the provided themes. (See Google employee AnaLikesLattes' answer)
2. It is not possible to enforce one-submission-per-person but you could maybe use required fields asking for first/last name or email. (Google Docs Help discussion)

I'm not sure about SurveyMonkey (haven't used it) but for more advanced surveys I'd suggest using SurveyGizmo. They offer a free account with 250 responses per month. Comparison of their plan features here.

You can "embed" the form in an email, and then use "boomerang" to send that email repeatedly... Here's a excerpt from two pages:

How to Embed A Survey Form in Email And Receive Higher Completion Rate [Google Forms]

Creating & Embedding a Google Form in Email

1. From your Gmail account, navigate to Google Drive and click “Create -> Form”.
2. Complete the necessary questions for your survey (as shown below) and click Done.
3. When the “send the form to others” dialog box pops up, enter in the relevant email address you want to send the form to and ensure the “Include form in this email is ticked”. When you’re sure all the details are correct, click “Send”.
4. When the client receives the email, they will see the survey embedded in the email and will be allowed to answer it directly instead of using the link. As shown in the example below, the recipient chooses the appropriate radio buttons and clicks Submit.
5. When the Submit button is clicked, a message box pops up stating that the recipient is submitting the information to an external website. They will need to click OK to continue.
6. A new tab opens (within the relevant browser) indicating the survey has been submitted.
7. To ensure that the response was successfully received, navigate to the form in Google Drive and open up the survey form. The results should be recorded as shown below.

As previously stated, Google forms cannot be filled out within an email unless the recipient is using Gmail or Google Apps. This means that if the form is sent to emails such as Outlook or Yahoo, there is no option available to submit the survey directly within the email. Instead, the user has to click on the external link to access the survey page.

I'd suggest you use the above info, and email the form to yourself. Then use the info below to send it repeatedly

How to send recurring emails and reminders

Our demo video above shows you how to send recurring emails right from your inbox. Whether you need to remind employees about biweekly events, make sure your roommates pay the utility bills every month, or remind yourself to stick with a new habit every morning, Boomerang’s recurring messages feature will make short work of it. To set up a recurring email, all you have to do is write a message like normal, click ‘Schedule Recurring Message’ from the bottom of the Send Later menu.

From the pop-up menu, you can then choose the start date, frequency, day of the week to send, and end date. You can easily change, edit, or cancel a scheduled message from the manage page. It’s that easy!

With the Boomerang for Gmail extension, you can schedule easy recurring email reminders right from your inbox.

Links are already provided in the title of each quoted text above...