Depends on which part of North America we're talking about. This includes anywhere from Panama to Greenland. There's jungle, desert, tundra, and a whole lot of other distinctly non-European biomes.

Since you're asking about the Europe-like regions of America, I'm going to guess you're talking about the Eastern Woodlands(map). Agriculture before Columbus was extremely prevalent in this area, even among groups people don't normally associate with agrarian societies (e.g ancestors of the Sioux). Several crops were first domesticated in this area, including squash and sunflowers. Later on, three-sisters agriculture of maize, beans and squash were domesticated and this highly effective package was able to reach much of New England. Much of the eastern part of the U.S was extremely developed in the pre-Columbian era.

At the northern regions of New England and in some regions of America's Gulf Coast, though, agriculture wasn't as prevalent as hunter-gathering. While there didn't seem to be any active farming of animals going on, at least one place in Tennessee shows signs of potential turkey domestication around 600 years ago (domestic turkeys existed in Mexico at that time, but they would not have made it here).

I am not very well versed in the differences in flora between Europe and North America, unfortunately. But I do know that the first colonists of the Eastern Seaboard were sufficiently confused by the native flora that it was difficult for them to survive, among other factors. I would say it is deceptively similar in some cases as many of the trees would be ones recognizable in Europe, as well as grape species. North America, I believe, has a wider array of berry and other fruiting plants than Europe.

I haven't read it, but based on similar answers I might recommend Changes in the Land by William Cronon to read up on how different the agricultural environments of Europe and Native-managed North America were.

Animals I know more about, but there isn't much different on a macro level. Whitetail deer, elk and turkeys filled the niches of fallow/roe deer, red deer and pheasants respectively, but bison were more prevalent in the Eastern Woodlands than today (arguably, so were the European bison before habitat destruction). At this time they would also still have retained many of their large predators such as wolves, mountain lions and black bears. The assortment of bird species would have been a bit different (such as Carolina parakeets in the southeastern portion of the U.S, and the famous passenger pigeon swarms), and North America has a much higher diversity of reptiles than Europe; including many arboreal lizards. Many common earthworm species seen today aren't originally native to North America, and disrupt the ecosystems of plants that are used to having unmixed layers of decaying organic matter.

Let me know if I answered your questions.