In elementary school, we had Apple II's on which we played a few games (Oregon Trail is the only one I recall...). ONCE they sat down and showed us roughly how using a modem works, and how email works, but it was more just watching the teacher than any hands on experience, as most kids didn't have regular access to a computer yet anyhow. There was a single computer in the library (not sure what OS...probably win95) which had Grolier's Encyclopedia on CD-ROM, which I recall checking out on a few occasions.
In middle school, we were using Windows 95, and 98 as that turnover happened. We got basic typing instruction, though that seemed to be fading as this was when use of AOL Instant Messenger was taking off, and kids were showing up for typing class with precious little need to have anyone drag them through the basics. Also around this time was basic use of search engines (yahoo, excite, lycos, dogpile, altavista, and this NEW one with the weird name of "Google" that one of the teachers had stumbled upon while surfing in their free time...). Throughout middle school, we also got periodic instruction in use of MS Word and Powerpoint, with perhaps a dusting of Excel once or twice (more for making graphs than anything else).
High school was where I got regular access to the Internet at home, and I was fairly late in my town to be getting it (we'd had computers all my life growing up, but they were all old by the time I even got to any playing with them (think Commodore 64 in 1993), other than the Pentium I box we got in 1996 with a modem that only worked a handful of times...I suspect it was just a matter of bum hardware). In any case, High school was where we got a bit more with web research skills, use of graphics editing programs, and an elective to learn basic C++ (the only programming class offered at all). Most of the learning I did in High school with computers involved either at home stuff on my own, or hanging out with the tech club during open periods, which was quite the helpful way to pass the time that I'd recommend to any teenager looking for both technical knowledge AND a social life in high school at the same time. You might even get some inside information on how the school firewall is set up, allowing you to find interesting and easy ways to bypass it, like I did! (The firewall was port blocking, but allowed port 25. .Exe files were disallowed, but often changing the name to something like "calc.exe" was all it'd take to run say, Telnet. Telnet server on port 25 on the box at home, and voila... Anyway, obviously I'm dating myself with this one, because any kid these days would undoubtedly be able to rig up at least an SSH tunnel for a bit less awkward method of connecting out...I'm just recalling getting SSH running on our systems being a bit more of a pain than simple Telnet was...).
Anyway, I'm 26, for a reference point, and I'd be pretty horrified to hear of any school systems doing things the way they did while I was in school, but at the same time, don't actually expect that it's THAT much better, all in all.