You could try something of this manner. date.getDay() will return a numerical representation of the week day. Depending on the day or month you draw a different element from the array:
var date = new Date();
var day = date.getDay();
var month = date.getMonth();
var monthNames = ["January", "February", "March","April", "May","June", "July","August", "September", "October","November", "December"];
var dayNames = ['Monday','Tuesday','Wednesday','Thursday','Friday','Saturday','Sunday'];
alert(monthNames[month]);
alert(dayNames[day-1]);
Demo Code:
http://jsfiddle.net/7e578hm8/2/