If the aim is to run the guitar signal through Amplitube then to a guitar amp it can be done. It's not entirely simple though.
The setup would look like this.
Guitar -> interface (might need a DI box with a 1MOhm+ instrument input if the interface doesn't have one. Guitars like to "see" a high impedance otherwise they lose a lot of treble and volume.
Interface sends signal to computer, and through DAW/Amplitube. You'll need to enable track echo if Amplitube's loaded into a DAW to hear what Amplitube is doing.
DAW sends signal back to interface. Not to the stereo outs connected to the monitor, but to another available output. The audio track's output will need to be configured to point directly at that output.
The interface output carrying the guitar should then be connected to what's known as a "reamp box". This is a special kind of DI box that converts a line-level signal to a guitar level one suitable for running into a guitar amp. Connect the reamp box output to the guitar amp.
Then record the output of the guitar amp using a microphone or maybe a speaker-emulating DI box of some kind. If it's a valve amp it absolutely must be connected to either a speaker or a load box of the correct impedance or you risk very expensive and quite possibly terminal damage to the amplifier very quickly indeed. The only exceptions are the Mesa Boogies and a few other amps which have a speaker emulated DI output and a built-in switching system to disconnect the speaker. Always follow the manufacturer's instructions when using such things.
Overall, it's a complicated way to go. Studios sometimes track a guitar twice at the same time, once track via the effects and amp, with another track recording the "dry" guitar in case they need to run it through different effects or amps later on. But it's a bit of wn overkill setup for most people.
I suggest a better way to do things is this.
Run the guitar directly into the amp. If there are effects that need to go before the amp - wahs, overdirves, fuzzes, compressors - consider buying a few inexpensive ones or good condition second hand. Record the amp, or use a loadbox and a speaker-emulating DI box like a Palmer or H&K Then add other effects - modulations, delay, reverb etc. - in the DAW.
What will not get good results, at least not without a great deal of careful setting adjustments, is connectong an output from the interface directly to the guitar amp. The output level from the interface will be vastly larger than the amp is designed to expect and it will probably distort like mad, or if the interface output is set low enough to avoid that you'll probably get a lot of hum. It's also quite possible there'll be a major ground/earthing loop set up as well which will buzz like mad.