Will the transmission from a 96 ford bronco fit 98 f150?

No, a transmission from a 1996 Ford Bronco will almost certainly not fit a 1998 Ford F-150. While both are Ford trucks, the transmissions used varied significantly depending on engine size, drivetrain configuration (4x2 vs. 4x4), and specific transmission type (e.g., automatic vs. manual, and even the specific model number within those categories). Even if the engine size is the same, the bellhousing bolt pattern (where the transmission attaches to the engine) is likely different. The output shafts, transfer case connections (if 4x4), and mounting points on the frame will likely also be incompatible.