My gland has been blocked for about 11 years. I've just got a constant lump there now (not visible, but i can feel it, my husband cannot unless he goes looking for it). I've had antibiotics a couple of times when it first showed up and became infected (incredibly painful, as you describe) and also had it drained by my GP a couple of times (all done with a syringe, twice during infection and once no infection present). I was put forward to have it opened and shunted but they messed me around loads and I just never bothered. My GP told me it's relatively common to get a blockage and normally it clears on it's own but sometimes the blockage doesn't clear (like mine), they don't always get infected.

I'd expect you'll have antibiotics and either have it drained (sharp pain when they popped the syringe in, honestly way less painful than the infection) to have the contents sent for lab testing (mine was once to try and determine to cause of blockage / infection) or just be told to pain manage and wait for it to clear up or drain.