r/Zermatt

I am coming to Zermatt this weekend (May 22-25) and meeting a friend from the US who is in Switzerland for a conference and wanted to see the most beautiful mountain in the world.  I have been to Zermatt many times but only for skiing or in the height of summer for hiking.  

Does anyone know which mountain restaurants might be open this weekend?  I think most are closed.  Will there be some open hiking trails?  And enough places open in the village to make it fun for her?  I have been talking about Zermatt for so long, I really want to show her how special it is.

Is the Alpen hotel close enough to the ski lifts? Im going to Zermatt for the first time in January and Im looking for a good hotel