It’s important to note that though the antiretroviral drugs can often be very effective in allowing even patients with AIDS to live a normal life, they aren’t foolproof by any means, or a walk in the park to deal with. Here’s a convenient chart for your reference - some medications may require multiple pills be taken per day, and some have nasty side effects. I’ve seen patients who have developed diabetes due to their antiretroviral therapy and now in addition to those pills also have to monitor their blood sugar and inject insulin a couple times a day. Some developed super-high cholesterol and are on medications to keep that under control to reduce the risk of having clogged arteries/a heart attack/need for bypass surgery. Check out the other long-term side effects in the link I gave for things like mitochondrial damage, liver damage, hepatitis, etc. Sometimes the cure can be (almost) as bad as the disease, though admittedly you had to be lucky to hold on for very long once you developed AIDS, before the introduction of highly active antiretroviral therapy in the (early?) '90s.
Also, a patient may find that his or her viral infection no longer responds to the drug regimen in use and have to switch, facing an entirely new set of side effects, dosing issues, and permanently crossing off one or more of the approximately 20 US FDA-approved medications for use against HIV. This resistance can even be produced by a patient not taking the medications as directed, similar to how doctors tell you to take the entire regimen of antibiotics when you have a bacterial infection - taking too little of the medication will leave the more resistant ones behind, and those will selectively reproduce and take over. Infection with a new strain of HIV can also cause this, which is why safer sex precautions are recommended even between two HIV-positive people. Even if two people are a couple, a mutation in the strain in one of them could be transmitted to the other person, potentially requiring both of them to change their antiretroviral treatment regimens.
I’ve seen patients with AIDS who have been infected since the early '80s or so and are very healthy and active; I’ve also seen people only recently diagnosed who have problems like opportunistic infections infecting the brain. I found out not long ago that one of my favorite patients died of complications from Kaposi’s sarcoma, one of the well-known diseases that patients with AIDS might contract.
Today is World AIDS Day, by the way. Here’s a good resource selection from the National Institute of Health’s website.
BTW, the distinction is that having HIV means you’re infected with the virus. Other than that, you’re pretty much normal health-wise, but of course you can pass the virus on to someone else through the usual methods. Considering that it can take 10 years or more for an adult to progress to having AIDS once infected (2 years in kids born with it), this is why AIDS is so “good at” being passed around. If your T-cell (aka CD-4) count drops below 200 or you have one of a number of diseases called “AIDS-defining conditions” (basically, diseases not common in people without AIDS, though they can be contracted when not HIV-positive) - Kaposi’s sarcoma, tuberculosis, cytomegalovirus, mycobacterium avium, recurrent pneumonia, and others - then you are considered to have progressed to having AIDS.
(IANAD/N, though I do work with patients with AIDS; this is not medical advice, blah blah blah.)