there is really nothing for qbasic conversion. the code is straight forward, but msdos and screen commands have no equivalent in vb6 or vb.net. so if your basic app has a UI you will need to redesign anyway.
to convert vb6 to vb.net require visual studio 2008, as vb6 support was dropped long ago.
I'd probably skip vb6 and convert to vb.net directly. you might do well with an AI tool to convert chucks of code.
to run qbasic on a modern computer you need virtual machine running msdos or msdos emulator.
sample:
also there are many msdos box emulators that your browser can host.