Important: whilst SketchUp Make is still available it is no longer actively supported or developed by Trimble. Users are instead directed to SketchUp Free, an online browser-based ‘app’ that has much the same functionality minus import/export capabilities (disabled), it cannot be used to export content out for use in Blender.
TL:DR summary of the export/import process explained below;
(1) Export SketchUp scene/selection to Collada DAE or KMZ.
(1a) if KMZ, extract DAE file and misc. contents.
(2) Import DAE file into Blender using Collada import.
(3) Tidy up mesh.
For extensive information and instruction on exporting and importing SketchUp meshes into Blender generally refer to Import SketchUp models into Blender, the process is the same with minor differences.
Before exporting from any version of SketchUp ensure all meshes are set up as required, separated or grouped as needed, with materials and/or textures assigned. Once done, when exporting, if the Collada DAE format is not available KMZ can be used as an alternative (see instructions on unpacking these here). Set or select any options e.g. whether the mesh should be triangulated or not (useful for game-ready models), and then export. This produces a *.dae file (or *.kmz) and asset folder containing textures used by the model.
Design note: exporting to DAE/KMZ provides few options that help mitigate mesh complexity in Blender so some clean-up work will always tend to be necessary.
To import the Collada DAE file, in Blender, from the File menu select Import then Collada (Default) (.dae) – File » Import » Collada (Default) (.dae). In the File Browser Browse select the *.dae file to be imported and in Import Properties (settings) to the right (N if not visible) set any import or mesh options then click the Import COLLADA button. If successful the imported SketchUp model will appear in the 3D View positioned as it was in SketchUp.
Important: although Materials and texture references are imported into Blender, the current Material and texture display system used by newer versions of Blender means additional work may be necessary so UV mapped and assigned images appear in the 3D View.