Yes, most of the time. However, if the model includes a tool that is not available in ArcGIS Pro, the model will not work. You may need to wait until that tool is available in a future release of ArcGIS Pro. Alternatively, you may be able to remove the [...]
The majority of ArcMap geoprocessing tools are available in ArcGIS Pro. However, some tools are not available. In some cases, these tools may be available in a future release. Tools that work with data formats that are not supported in ArcGIS Pro, such as coverages, will not be available in [...]
Usually, yes. ArcGIS Pro uses Python 3.x, while other applications in ArcGIS Desktop and ArcGIS Server use Python 2.x. Despite some significant differences between these versions of Python, many geoprocessing scripts can be used as-is in both ArcMap and ArcGIS Pro. You can read about Python migration for ArcGIS Pro, and use the Analyze Tools For Pro geoprocessing tool [...]
No, ArcGIS Pro has a new .NET API, and the functionality and workflows are different from what exists in ArcMap. The new API was built using ArcObjects; however, ArcObjects is not exposed directly.
You can download ArcGIS Pro and optional setups, such as the offline help system, from My Esri. See Download and install for more information. If you don't have ArcGIS Pro, you can sign up for a free trial and follow the links provided in your email to download the application.
No, you can install ArcGIS Pro on a machine that has any version of ArcMap, or on a machine without any Esri products. However, you can only install one version of ArcGIS Pro per machine.