Dear Kevin,
As you stated, Java's 'import' looks the same as C/C++'s #include (Java does not use include). But there are a few (some might say major, some might say minor) differences.
First of all, Java's import statement doesn't include the file, as #include in C/C++ does, it just tells the compiler where to look for its class references. Therefore the import statement isn't used to import/include C-style header files in which you declare all the used functions, as the #include statement in C/C++ is used most of the time. Note that this isn't needed as, unlike C/C++, Java doesn't make a distinguishment between declaring a function and defining the function, as Java class files simply acts as both the declaration and the implementation of the object.
The second difference between Java's import statement and C/C++'s #include is that the latter statement is parsed by a preprocessor, transforming the statement into the equivalent C expressions/statements, thus actually adding the source code of the included file into the including file before compilation. Java does not have this kind of preprocessing because, in fact, you doesn't really need it.
Hope this helped,
Tim