Welcome to Myce
Unfortunately it looks like LiteOn no longer hosts any updates let alone the instruction manual for this DVD recorder and I had little luck finding firmware for any of its DVD recorders.
Recording should be similar to the LVW-1105 I've used in the past. Insert a black DVD-R or DVD-RW disc and it should start initialising the disc. With the unit I had, this took about 2 minutes. Once this process completes, it should let you record on the disc.
From what I recall, DVD-RW and DVD+RW discs (both rewritable formats) took longer to initialise.
Even without the latest firmware, it should still be able to write to any blank recordable DVD-R/+R you load. The main thing the firmware would do is provide better compatibility with newer discs such as specify maximum write speeds. However, even with old firmware, it should still be able to write to new recordable discs.