Since you are trying to perform Speech Emotion Recognition (SER) using deep learning, you can go for a recurrent architecture (LSTM or GRU) or a combination of CNN and recurrent network architecture (CRNN) instead of GANs since GANs are complicated and difficult to train.
In a CRNN, the CNN layers will extract features of varying details and complexity, whereas the recurrent layers will take care of the temporal dependencies. You can then finally use a fully connected layer for regression or classification output, depending on whether your output label is discrete (for categorical emotions like angry, sad, neutral etc) or continuous (arousal and valence space).
Regarding the choice of input, you can use either a spectrogram input (2D) or raw speech signal (1D) as input. For spectrogram input, you have to use a 2D CNN whereas for a raw speech signal you can use a 1D CNN. Mel scale spectrograms are usually preferred over linear spectrograms since our ears hear frequencies in log scale and not linearly.
I have used a CRNN architecture to estimate the level of verbal conflict arising from conversational speech. Even though it is not SER, it is a very similar task.
You can find more details in the paper
http://www.eecs.qmul.ac.uk/~andrea/papers/2019_SPL_ConflictNET_Rajan_Brutti_Cavallaro.pdf
Also, check my github code for the same paper
https://github.com/smartcameras/ConflictNET
and a SER paper whose code I reproduced in Python
https://github.com/vandana-rajan/1D-Speech-Emotion-Recognition
And finally as Ayush mentioned, Librosa is one of the best Python libraries for audio processing. You have functions to create spectrograms in Librosa.