Currently, Australian borders are closed with few exceptions to foreign nationals due to Covid-19 pandemic. Parents of an independent adult are not considered immediate family for the purpose of exemptions. Weddings are also not usually considered a compassionate and compelling reason to travel.
At this time, even if you obtain a visa, you won’t be allowed to come to Australia without good reasons and an exemption by the Australian government.
When things return to the normal:
Yes, Australia requires a visitor visa for holders of 1951 Convention travel documents (blue).
Only a citizen of Germany (or other eligible countries) with a valid passport is eligible to visit Australia under eVisitor scheme.
You cannot apply with:
- a non-citizen passport, certificate of identity or other travel document
You can apply under the tourist stream or sponsored family stream (if your daughter is eligible). You can find more information here: https://immi.homeaffairs.gov.au/visas/getting-a-visa/visa-listing/visitor-600.