Blogger now has a built in feature for this. To use it, go to Layout, choose Add a Gadget, and then in the gadget-choice window, click More Gadgets. Contact form is top of the list. Complete the details, save the form layout - any you will have a contact feature in the sidebar or footer or header (wherever you put the gadget).
If you want it to look like it is on a page, then
- Position it just below the Blog Posts gadget
- Make a page called something like Contact, and link to it from your
- Set it up so that you only display the gadget on that specific page.
(Instructions for this here.)
Alternatively, Google Forms has developed a lot in the last couple of years, so you could easily make a contact-me form in it. However this will put the messages left into a Google Sheets spreadsheet, not email them to you.