If the computer came with windows 7 installed or runs well with it, you should be able to run Ubuntu.
Did you do an md5 checksum on the iso file after downloading to verify it?
What method did you use to install? Did you download the Ubuntu iso file and burn it as an image to a DVD? or did you put it on a flash drive to make it bootable and if so, what software did you use for this process? Did you get a success message at the end of the install?
To get more information for someone to assist you, I would suggest that you boot the Ubuntu installation medium and go to the site below and download the bootinfoscript and run it. This will output a results.txt file which you can post here. Make sure you read the instructions in the link in the Description box so you know how to run the script.