perhaps make it the focus at less 'important' times.... so when she is playing, you talk about what she is doing, and if you are handing her something say what it is as you pass it.
Keep it single words to start, as sentences are too hard for little ones. Lots and lots of exposure to language is important, and if you REALLY wanted to push it, you can't give her what she wants until she has said it.... but in that case it needs to be something she CAN actually say.... so focus on the things she can say for now, and only respond if she uses that word.

You can also take photographs of the things she generally wants, and get her to point to the pictures - perhaps leave them on the fridge - so she can pick up and bring it to you, or point to it. You will need to model it - "oh you want the milk" and pick up the milk.... kids learn to communicate first by pointing and gesturing, and then it transfers to words....

she is still very little, so I wouldn't worry about it too much yet....