a dream is what you hope can come true
I'm assuming the underlined conjunctions are <em>both </em>and <em>and </em>(because you didn't underline any, and those are the only two conjunctions in the sentence).
Those conjunctions are called correlative conjunctions - this means that they are connecting two items which are equally important. So, this woman saw both Billie Holiday and Ella Fitzgerald - and both of those artists are important to the woman.
A proper noun is just a specific noun and starts with a capital letter. Some suggestions: Honda Civic. McDonald's. (Your name). Texas. Grand Theft Auto. The Hunger Games. (Your teacher). Time Magazine. Red. Despicable Me. I hope this helps :)