Othello would come to her father's house and tell stories about his travels, journeys, and experiences in war. This attracted Desdemona to him - it characterized him as wise, brave, and kind.
Othello is a play, so you should not think of it as a book. Go and watch it, either at a theatre or on film, if you want to understand it. Learning how to understand plays by just reading the script...
Desdemona was attracted by Othello because of his life experience and stories of his past that he would tell her when Brabantio, her father invited him to dinners.
Brabantio is Desdemona's father. He becomes very upset when Desdemona elopes with Othello and accuses Othello of committing witchcraft in order to woo his daughter. Othello denies any wrongdoing and...