As an LP, there are two types of rewards structures you may interact with.
This is the rewards structure where the pool sponsor is not requiring rewards to be vested. In this case, you can simply claim the rewards token(s) on the pool page and they will be immediately transferred to your wallet.
In this case, the pool sponsor has specified a vesting period on rewards. There are two steps for LPs for pools with vesting. First, the LP must "claim" their rewards token(s). This claim begins the clock on the vesting period. Once the vesting period elapses, these claimed tokens will be eligible to "vest". This is a second transaction required of the LP. You can find currently vestable amount in the Vest modal on the pool details page.