Yes, you're right, Sadhana, Hooke was the first to use the term "cells" microscopically. Although he was looking at cork, which wasn't alive, the term was transferred later to living things.
But Hooke didn't invent the microsope. Zacharias and Hans Jansen, Dutch spectacle makers, produced the first known primitive compound microscope in 1595. However many decades later Hooke used his own improved microscope for the first serious scientific study. Micrographia was published in 1665 – 2015 is the 350th anniversary of its publication.
Anton van Leeuwenhoek was inspired to improve the lenses he made for his microscopes, and to use them for the study of living things. Although he'd been sending letters about his research to the Royal Society for some time, even the society balked when he described seeing teensy living things - microorganisms, we call them today. It took a while to confirm their existence.
Last edited by Mona - Astronomy; 10/01/15 08:01 AM.