I'm a bit of a web noob as well, so I have a related question:
If I have an https url with a token will the token only be sent through the https connection or is it contained in any lookups or connection metadata or such?
So, for single-use tokens, you're probably OK for passing it in the URL (e.g. myhost.test/resetpw?token=abcdef), but it is usually considered a bad idea to use the URL for non-single-use secret info. Once it hits the server, the full URL may be stored in log files unsecured or if you use SSL termination before the server, it could be logged in other places as well. Additionally, the user's browser itself may store your secret URL in the history.
They are good for 1 password reset, not 1 page load. It's possible to make them good for 1 page load, but most I've encountered are not due to the tradeoffs that would involve (see other discussions).