Well as you can guess by the answers, Macro is a magnification that is close focus down to 1:2 size. I think Micro is a Magnification life size 1:1 and beyond.
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If you are borrowing a camera and lens from a friend then extension tubes is likely a good start. this has no glass in it, they are just tubes that fit between the lens and camera body. You can get them one at a time or in a set of three with three different sizes. The set will be about $99. That will get a 50mm lens down to 1:1 life size magnification.
for most flower shots you don't need to do Life size unless you are taking pictures of vary small stuff.
The three sizes of tube is 13, 20, 25 mm I believe and you will be using the 13 and 20 most of the time to allow you to fill the frame more with your flowers.
It is easiest to work in a telephoto range like 100 to 180mm lens range so you are back away and light may fall on your subject.
In answer to your question. The true dedicated macro lens will perform much better at sharp crisp images, because the lens is designed to be apochromatic. All three of the colors RGB are designed to meet at the same place on the image plane for the close focus shot. This is something zoom lenses with close up or macro simply can not do well, and it makes a big difference. if you have ever seen rainbow colors around the edges of the image frame or a specular highlight, this is a lens that is not focusing these colors at the same place on the image plane.
Extension tubes will help you focus close but it can not take care of the apochromatic issues. So dedicated macro lenses are a little expensive, but worth it if you really like working in this area of photography.
The best is a lens that works in the 105 to 180 mm range. My preference is the 180mm range for it's large working space range for letting light in on your subject and nice soft backgrounds.
hope this helps