In Store Output Values
you have Content Document IDs
and Uploaded File Names
. You can use text collection variables for storing these. You can show these details after clicking on done.

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If the collection variable is shown in same screen, its not updating. Instead you need to put the collection variable in next screen in Output text
.

On next screen:

Will let you know if I come across a solution where we can show in same screen.
Note: Using custom component, you can use lightning:fileUpload
component and onuploadfinished
event which fires when you click on Done
and you can show immediately with all details like Name, Size, type etc
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If you would like to create custom component, there is a generic component (in-progress) which you can use, you get some inferences. This is git repo: https://github.com/sasank-sfdcdev/public/tree/master/src/lwc/datatable.
Here is the generic component which you can use for exactly this functionality - https://github.com/sasank-sfdcdev/public/tree/master/src/lwc/upload - Also this can be used in both AURA and LWC (pls note that this is in progress)
Using this component, you can:
Get the files owned by current user
Search for files
Use this in scenario where file has to be uploaded while creating any record like account/case etc.
Note that this uses another component which you can download from same location.
You can use it like below:
<template>
<c-upload parent-id={parentId}
label="Upload Files"
accept=".jpg,.jpeg,.pdf,.png">
</c-upload>
</template>
You will get the UI as below:
