Are there more than one type of cells?

Yes, there are.

There are two main groups: Plant and animal cells. 

These to cells differ mainly in their structure and organelles, for each organism functions differently.

There are other types of cells which are not considered a group by themselves because they are just a bit different, (you could call them variations, or disabled if you like) for the fact that they have abnormalities like cancerous cells for example.

Hope it helped,

Happy homework/ study/ exam!

This is the most closely resembles the model.