personally, there are two main goals in skyblock: island levels and money.
depending on your rank i'd just start off with visiting profit shops and participating in events; there are probably a few being hosted at this time in the season.
grinding chickens is basically the same as grinding cows on survival.
the eco is more slow though, it takes much longer to get 10mil in skyblock than it does in survival.
you can also invest in iron golems, i'm not sure of their value anymore but you can sell stacks of blocks at some player's buy and sell shops.
gold blocks from pigmen and just from buying in general are probably the most efficient way to get island levels.
unless you're skygod+ or have teammates who are i wouldn't recommend investing in zombie pigmen. /condense is worth it
gold is worth 150 island value, diamond 300 and iron, lapis and redstone are all worth 10.