To boot the computer, you need to get into BIOS. Before you power on, plug the monitor into the motherboard. When you first turn the thing on, look for an instruction saying something about either "BIOS, "Setup," or "UEFI." Press the corresponding button, which is usually F2, F8, F10, or DEL. Once you get into BIOS, dig around and look for something about integrated graphics, and then disable it. Save and quit, and then turn off your computer. Plug your monitor into the video card (not the motherboard) and boot up into Windows.
To get your card up and running, do a fresh installation of display drivers now that you physically installed your new card. Old graphics drivers leave traces that can mess things up with new cards unless you clean everything out using DDU. Here is the download link to the latest version of DDU:
http://www.guru3d.com/files-get/display-driver-uninstaller-download,14.html
It will start downloading automatically. Run it. Let it take you to Safe Mode by restarting the computer. When prompted, check the box to remove the C:\nvidia and C:\AMD folders. Use the option to clean and restart. That will put you back in Windows without any graphics drivers in addition to what Windows will use to display basic stuff.
Then download GeForce Experience from this link:
http://www.geforce.com/geforce-experience/download
Install it, open it, and install the drivers through the program. If the windows doesn't fit on your screen because the resolution is messed up, click anywhere inside the Catalyst window to make sure it the active window, and then press on your keyboard "Window+Up Arrow." That will maximize the window and force it to fit on your screen so you can click on things.
After the new driver installs, restart - even if it doesn't require you to restart. You'll then be in Windows with new - and only new - graphics drivers.
If that doesn't work, then there is something more serious wrong, but be sure to try this first. It's a common issue when installing new graphics cards.