Stealth is totally correct. My son has already moved rooms 5 times in his first year. And he will move 2 more times before the start of classes in August. Fortunately for him, we live pretty close, so he puts his basic cloths, uniforms, etc... in storage, and we bring the computers, guitars, etc... back to the house; where we'll bring them back to him on Parent's weekend.
As for if they are allowed; EVERYTHING that is considered a privilege, is up to the squadron that they are assigned. No two are the same. After basic, some allowed cell phones immediately. Some made their cadets wait until parent's weekend. Some could have ANY personal computer and accessories they wanted; some had limits. The answer is that he'll find out once he's assigned to his squadron after Acceptance Day.
A little hint that some cadets have "Learned" when leaving for summer break and you have stuff that you don't really want put into "Storage" because of the possibilities of loss or damage. Mail it to yourself. Hmmmm???? Maybe you have the PC monitor, printer, person T-Bird Poster, etc... You live too far away to take it with you during the summer. Box it up. Pack it good. Take it to the post office. INSURE IT!!!! And mail it to yourself. Being cadets are gone for 3-6 weeks in the summer for vacation and OPS; the post office on campus is accustomed to packages backing up. When you return, there will be a pickup ticket in your mail box. Go get your package. Yes, it costs a few dollars, but it's cheaper than sending it home or risking storage. Sometimes the post office NOTICES the sent/to address is the same. Most times, it just goes into the big bins heading for down town post office. Then the automation process puts it in the "Local" system just like if it was being sent down town. It then comes back on base. Back to the T-ZO; and they put a ticket in your mail-box. If you can't trust the government post office to watch your stuff for a few weeks; who can you trust? Anyway; just a suggestion for those things you can't take with you when you leave in the summer and they are really valuable. (OR, you can actually get renter's insurance. Just like in an apartment or traditional college dorm. If it's lost, stolen, or broken; it will be covered.