Just wondering if I can run the same Ubuntu instance on two machines, without connecting from remote. I have 2 laptop with both the latest version, same programs but I cannot remotely access to share or server outside the local network, one laptop always with me and a desktop. I don't want to work from a remote session anyway, I'd like work on different machines like as if were only one.
If you mean "connecting from remote" as a remote desktop solution, then yes, that is not necessary. You do need to synchronize them somehow, and we have solutions for that. For instance, Ubuntu One can be used to synchronize files between computers. There is also something called OneConf that can be used to synchronize application settings, etc.