Air Travel IconPlease be aware there is another Westin in Ft Lauderdale which is inland and further north.
Be sure your are headed tot the Westin Ft Lauderdale Beach Resort
The closest major airport is the Fort Lauderdale–Hollywood International Airport 
Airport CodeFLL

Address100 Terminal Dr, Fort Lauderdale, FL 33315

Transportation from the Airport
1. Auto, Taxi, Uber, Lyft, Shuttles - The airport is 7.1 miles from the Westin Ft Lauderdale Beach Resort along Seabreeze Blvd.   A search reveals the most reasonable rides appear to be Uber X $13-$18, Uber XL $26-$34, Lyft at $54 and Go Airport Shuttle is $31-$56.  All other shuttles were double.  Checking prices close to your travel date is advised

2. Broward County Transit (BCT) - The Line 1 Bus Stop is on the upper departure level at the Rental Car Center (RCC).  From Terminal  2, 3, or 4 take the shuttle bus to the RCC. From Terminal 1, access moving sidewalk into the RCC.  Look for BCT and Stop 7 bus stop signs.  The airport is on Line 1 and the bus goes to downtown Ft Lauderdale.  From the BCT Central Terminal in downtown Ft Lauderdale you pick up the Sun Troll