If you restored from the seed, nope. They will both automatically derive the same addresses.
Yes I restored from the seed and they have the same addresses , it is syncing well in my Laptop running Linux Mint latest version, with latest updates, the problem is I have to check my PC after a few days how long it will take to sync there, but I guess it will be no problem keeping same wallet in different places, thanks for your help. My PC is running another debian based linux, not Ubuntu.
Since Electrum is an SPV node, it takes about 5 minutes to download the full headers for the blockchain on a decent connection.
On a terrible connection it took me once about 30 minutes, that's tops, and from scratch, not an update.
An update should take seconds.