Disclaimer: not a doctor (obviously), ask someone who is qualified, but this is what the ID doctor told me:

Lyme is a bacterial infection, and can be cured with antibiotics. Once the bacteria is gone, you no longer have Lyme disease.

However, there is a lot of misinformation about Lyme online. Some people think Lyme is a chronic, incurable disease, which they call "chronic lyme". Often, when a celebrity tells people they have lyme disease, this is what they mean. Chronic lyme is not a real thing - it is a diagnosis given to wealthy people by unqualified conmen or unscrupulous doctors in response to vague, hard to pin symptoms