When going away from Morganville, no tolls at least until exit 137.

When coming to Morganville, the nearest exit is 123 but comes with one extra toll.

Alternatively, you can take exit 129 for US 9 toward NJ-440/I-287/Woodbridge/Perth Amboy → Keep left at the fork, follow signs for US-9 S/NJ-440 S/I-287 N/Raritan Center and merge onto U.S. 9 S → Take the exit toward US-9 S/Freehold/Atlantic City.