Johnson was introduced to Claudia Alta "Lady Bird" Taylor on September 5, 1934 by a mutual friend in Austin, and arranged to meet again the next morning.
Lyndon and Lady Bird met for breakfast, spent the day together, and he purportedly proposed before the day was over. In the next few days, Lyndon introduced Lady Bird to his parents; she met his boss, Congressman Kleberg; and they drove to Karnack where Lady Bird introduced Lyndon to her father. Johnson then returned to his job in Washington, D.C. During the next 10 weeks, the two wrote approximately ninety courtship letters to each other before he returned to Texas, and they "committed matrimony," as Lady Bird described it, in San Antonio on November 17, 1934.
The entire collection is available on the LBJ Presidential Library website.