Well, keep filing for weeks. Send back a timely appeal to the appeals tribunal. As you said, it costs nothing, no real downside. Do be looking diligently for another job, don't be expecting a backpay.
An in person hearing generally reduces the chances that an employer will show up, but as cbg has pointed out, even that does not give you a slam dunk win. They got the information on the termination, at least some of it, before the initial decision was made. It will be read into evidence by the hearing officer if the employer is not present.
Biiiiggg bull......to the idea you think that any normally intelligent hearing officer is going to believe you didn't know it wasn't the thing to do to look up "inappropriate material" (and doesn't know this means porn) on your company computer at home on your own time. In fact, this is going to probably be interpreted as gross misconduct, the kind you should have known it was wrong to do it, even the first time, without giving you a warning and a chance to do better.
If your initial appeal has been denied, you have already lost the first round on this. So what the employer has given them was sufficient to have them deny your claim initially. It probably wasn't necessary for them to provide extensive documentation to have this one denied.
But I suspect strongly that they will show up at a hearing and for fight this one. Having terminated you, having you caught red-handed, so to speak, (I assume they have the computer with the history in question now) they're not going to miss the chance to win an easy one. It would be bad business practice on the part of the employer to accept the charges on this unemployment claim without a fight.
I don't see much defense that will fly based on "I didn't know" when you had been told you were responsible in some way for the employee handbook by the employer at the time of your hire. In most cases, one signs something agreeing to abide by the handbook. One is also generally expected to have a pretty good idea of what is meant by "inappropriate materials" even without graphic examples being provided.
Misuse of company computers and attendance issues are the two most common ways to be terminated and not get unemployment. They gotcha, in my opinion.