The HIlton has good shuttle service and it's less than a mile or so from the entrance to LAX. I'd allow about 1/2 hour because LAX traffic can be like all traffic in LA - AWFUL. You do need to call for the van from the airport on the courtesy phone in baggage claim or get the phone number of the hotel and call on your cell phone. It's free to hotel and parking guests. Sometimes the courtesy phones are not easy to see from the baggage claim area.

LAX is sort of Horseshoe shaped and the Tom Bradley Internatonal terminal would be right in the middle of the U and parking (short term) and the Encounter Restaurant are in the middle area.