No.
You do not need drivers for a monitor.
Windows 95 & 98 Windows 95 & 98
Windows 98 will detect that a card has been plugged in. Whether or not it can USE it depends on whether the card has Windows 98 drivers available, and if you have installed them correctly. Most wireless A, B, and G cards have Windows 98 drivers, but very few N cards do.
Windows 95 & Windows 98
The drivers for the mouse might be incompatible with the Windows 98 operating system.
Windows 95 & Windows 98
Windows 98 does not include drivers for USB Mass Storage devices. A generic driver is available, however.
Windows 98 Second Addition ran on a number of different motherboards. The main thing was if the motherboard had drivers that would work under Windows 98. In some cases, Windows 95 or Windows ME drivers would be satisfactory substitutions. The main types of boards that supported Windows 98 SE were either Socket 7 (Intel Pentium and AMD K6, K6/2, K6/3) or Socket A (AMD Duron and Athlon).
MS-DOS Windows 1.0 Windows 2.0 Windows 3.0 Windows 3.1 Windows 95 Windows 98 Windows ME
The "Windows 9x" line, consisting of Windows 95, Windows 98, and Windows ME. Windows 95 partially supported 32-bit / WDM drivers via the USB supplement.
WDM
Generally speaking, the driver should work fine, but there were minor changes in the USB stack between the two versions of Windows 98, so it may cause some problems.