Would you say "quote/end quote"?
A girl said, quote, I want a lollipop, end quote, as she walked past the candy store.
Would you say it like that out loud?
Solution 1:
When reading a book aloud for recorded books, the reader never says "quote / unquote". Instead they indicate the quotation by a verbal change, such as a pause, or a change in the reading style or both.
The only time I've heard the quote / unquote construction used verbally is when one person is reading aloud another person's words during a debate or an argument.
For example, a television interviewer catching a politician in a lie by saying
"But Senator, only last month when speaking before the XYV committee you said, and I quote, 'blah blah blah' end quote. Did you indeed say that Senator?"
In this example, the use of "quote / end quote" is an attempt by the journalist to inject some drama by verbally indicating he is quoting the senator verbatim.
Solution 2:
It would be appropriate to say this if you were verbally transcribing or dictating text and wanted to be very clear (or needed to verbalize every non-comma punctuation mark).