The very same way as you would connect an (EP)ROM or RAM, depending on if you want only to read the EEPROM or also write to it - see basic appnotes, tutorials etc.

Please explain: do you want to remove the EEPROM from the board containing the DS89C450? Or do you want to program it using the controller, and the controller would be connected to the PC via the parallel port?
In the first case, search for "device programmer"; in the second, search for parallel port description, write an interface for the controller; then you need to write a programming algorithm for the EEPROM based on its datasheet.
However, parallel EEPROMs are slightly obsolete these days, as they don't allow bigger memory densities compared to FLASH. You might consider using parallel FLASH (where you need erase bigger chunks of memory before rewriting them), battery-backuped RAM, combined RAM/FLASH, parallel FRAM.

There are tons of serial EEPROM interfacing information, either on this site, or in the manufacturer's appnotes. Search.

While the manufacturers (unfortunately) have a freedom in marking the parts, they often follow a scheme (especially for memories), where the 2nd digit determines the type of memory:
1,2 - RAM (especially SRAM), e.g. 6116, 62256
3 - SPI/microwire EEPROM, e.g. 93C06 (or maskROM, e.g. 83C51)
4 - I2C EEPROM, e.g. 24C16
5 - SPI EEPROM, rare
7 - EPROM, e.g. 27C256
8 - parallel EEPROM, e.g. 28C64
9 - FLASH, e.g. 29C040

The last 2 or 3 or 4 digits (often after a letter, C or F) denote mostly density in bits.

The roots of this nomenclature (and more interesting information) can be found - where else - at the inventor of most of the types of memories - Intel:

http://developer.intel.com/technolog.../art_1.htm

Jan Waclawek