Getting is more correct here, but this kind of construction should be accompanied by a time (specific, like 8 am, or general, like soon or at the party). The tense is future progressive/continuous tense, which is generally used to indicate that we will be in the middle of an action at a specified time, or making a guess about the future. Some similar constructions:
- I look forward to eating dinner with you tomorrow.
- I look forward to meeting people at the party.
- I look forward to hearing from you soon.
It's important to note that the verb here is not infinitive: it's not to getting or to eating, but "I [look forward to] getting".
Future progressive is more commonly used with the word will, like "I will be swimming all afternoon", which makes it more clear what part of the sentence the to is part of. If you replaced the phrase "look forward to" with "will be" in your sentence, you get the following:
I will be getting first-hand insights and behind-the-scene
perspectives from XXX’s professors who are thought leaders and experts
in their fields.
I don't know if it's grammatical without the time, though, so perhaps the following would be better:
I look forward to getting first-hand insights and behind-the-scene
perspectives from XXX’s professors who are thought leaders and experts
in their fields tomorrow.
Or at the conference, soon, etc.