The files in your “Resource folder” are actually the contents of your application bundle. So first you need to get the path of the file within your application bundle.
NSString* path = [[NSBundle mainBundle] pathForResource:@"filename"
ofType:@"txt"];
Then loading the content into a NSString is even easier.
NSString* content = [NSString stringWithContentsOfFile:path
encoding:NSUTF8StringEncoding
error:NULL];
As a bonus you can have different localized versions of filename.txt and this code will fetch the file of the currently selected language correctly.