There are multiple ways for you to see which bus/vehicle and driver have been assigned to trips.  

#1  - Go to the Assignments tab and Assignment Inquiry

This gives you a lot of flexibility for filtering down your request using the big filter box in the middle of your screen.  If you want to see today's trips set the Start Date and End Date section to reflect today's date only - the page may refresh for you but if it doesn't you can click the Apply Filters button in the filter box :

This shows in list format the vehicles and drivers to this date range.

#2 You may go to the Vehicle and/or Driver Calendar

Click on the date you need:

This pulls up the same list with the same search criteria used above.