If your desktop environment is KDE, there is an app called KDE Connect which enables your computer to browse the files of your Android phone as well as other features like controlling the multimedia player of your computer from your phone and forward phone notifications to your desktop. This is all done wirelessly using WiFi. I use it on my Manjaro partition and so far am very happy with it.
The app is available on both
Google Play and
F-Droid. It must also be installed on your computer. It should be found in the repositories under the name "kdeconnect".
The Dolphin file manager is also recommended, as it supports browsing your phone without other steps. It will be shown as a mounted device. Some tweaks make it work on other file managers, but I did not go through them since I'm using Dolphin.
If your desktop environment is not KDE, another program called KDE Connect Indicator can be downloaded in addition to KDE Connect itself to make up for it. The package name is "indicator-kdeconnect". I tried it on my Ubuntu partition which uses the Unity desktop environment, but unfortunately I was not able to make it work for now, my phone and computer do not detect each other. Still, I leave it as a suggestion to let you know it exists, in case you want to try it out.