Plugged up bright monitor to ripened computer, blind say 1280 x 1024 60 hz. Will they work together?

Answer:

Yes, it will.
Usually, monitors are backwards-compatible, description it can lower its resolution to fit that of your video card. If your computer cannot handle the 1280 x 1024 resolution your monitor won't force your system's resolution to that size. The resolution of your monitor is flexible until you try to exceed its size, so you shouldn't have to verbs about them human being incompatible.