Is redness normal after IPL?

Redness after an IPL session raises an obvious question. Short answer: some is expected, and the timeline is what separates normal from not.
What the first day and first week look like
Here is how northbiomedical.com describes recovery after an IPL photofacial.
Downtime is modest: redness and a warm, sunburn-like sensation for a day, then the darkened spots sloughing over the following week.
Two stages are packed into that line. The first day is the red, warm stage. The following week is the stage where treated spots darken and then slough off. Knowing both keeps the second stage from being mistaken for a problem.
Where the question comes up
It usually comes up within hours of leaving the appointment, when the skin looks pinker than it did in the chair, and again a few days later when the spots look darker, not lighter. Those are two different questions, and they have different clocks.
If you want a plain description of the treatment itself, the Spa and Beauty Today explainer on IPL photofacials and the Adelaide Skin and Eye Centre page on intense pulsed light therapy cover the basics.
What comes next
After the first day, the redness should be fading while the spots take their turn. Plan for that week in advance: expect the spots to darken and slough before the skin looks settled. For context on what the marks you are treating might be, there is a guide to skin discoloration, its causes and treatments, and the AAD has a page on what can get rid of age spots.
Redness that outlasts the first day
Redness that is still strong well after the one-day mark does not match the timeline above, and neither does warmth that is not settling. Do not wait it out on a guess. Call the provider who treated you, describe what you see and when it started, and let them decide whether your plan for the next session needs to change.