Hi Vijay & welcome to the TF Forum!
TensorFlow is a pretty extensive computation platform that’s designed for deep learning tasks, e.g. neural networks, so you can certainly implement your neural net in TF. TensorFlow Lite is a mobile/edge-optimised runtime for TensorFlow models, so you can run your TensorFlow neural network or other model on a mobile or IoT device.
You can train a model using TF Lite, but it’s typically faster to train your network on a workstation or cloud service with more compute power (using “normal” TensorFlow), and then use TF Lite to run your model on your Arduino. The guide explains how to convert a model to use with TF Lite.
If you are looking for a pre-existing model to start using without training, check out TF Hub for some solutions in common problem domains.