Mhertel - you need to post process the image to convert from red to the classic IR look. What brand of filter did you use? HoyaR72 or another vendor?
I'm not sure what pp software you use so I can't really help out. I've used Picasa and am currently flubbing along with Elements. Briefly, set your white balance to custom, and select the grass or a leaf. The image should be converted to grayscale and be mostly black and white. From there, adjust tones and lighting. Watch out for excessive noise in the photo.
A forum member has an excellent step-by-step tutorial on IR conversion (as well as some solid photos).
Frank's Intro to Digital Infrared Photography
Feel free to contact me with any other questions (but I'm still a noob, so take it for what it's worth).
Me.