Instead of using the regular translate URL which has frames, use the src of the frame:
http://translate.googleusercontent.com/translate_c?hl=<TARGET LANGUAGE>&sl=<SOURCE LANGUAGE>&tl=af&u=http://<URL TO TRANSALTE>&rurl=translate.google.com&twu=1&usg=ALkJrhhxPIf2COh7LOgXGl4jZdEBNutZAg
For example to translate the page http://chaimchaikin.za.net/ from English to Afrikaans:
http://translate.googleusercontent.com/translate_c?hl=en&sl=en&tl=af&u=http://chaimchaikin.za.net/&rurl=translate.google.com&twu=1&usg=ALkJrhhxPIf2COh7LOgXGl4jZdEBNutZAg
This will open up only a "frameless" page of the translation.
You may want to examine and test around to find the codes for the required language.
Also bear in mind that Google may add scripts to the translation (for example to show original text on hover).
EDIT: It appears, on examing the code, that there is a lot of javascript in between the translation. You may need to find a way to get rid of it.
EDIT: Further examination shows that the end bit "usg=ALkJr..." seems to change every time. Maybe first run a request on the regular Google translate page (e.g. http://translate.google.com/translate?hl=fr&sl=en&u=http://mysite.com/faq.txt) than find and parse the "usg=.." part and use it for your next request on the "frameless" page (http://translate.googleusercontent.com/translate_c?...).