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.
The Canon MX850 printer does not have official drivers for Windows 98, as this operating system is outdated and not supported by most modern printers. Canon typically provides drivers for more recent versions of Windows. If you need to use the MX850 with Windows 98, you might have to rely on generic printer drivers or consider using a different operating system that is compatible with the printer's official drivers.
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