is Ella bebe nunca cafe. grammatically correct

No, because a negative word must be in front of the conjugated verb. Here is the proper word order:

Ella nunca bebe café. (Don't forget the necessary accent marks. If you don't know how to do that on the computer, we need to know 2 things: 1. Do you have a PC or a Mac and 2. Do you have Windows or not.

With the negative sentence, there is also another possibility for the word order:

Ella no bebe nunca café.

Sra