The ArcGIS Pro 3.4.1 and 3.4.2 patches are available to download from My Esri as well as through the software update in Pro (if enabled).
To get the latest fixes, please install both patches. For a list of issues addressed you can review the Release Notes for ArcGIS Pro 3.4
Note: ArcGIS Pro 3.4 and ArcGIS Pro 3.4 Patch 1 (3.4.1) must be installed prior to installing subsequent ArcGIS Pro 3.4 patches. Here is additional information about Minor Releases and Patches.