To securely verify the funds have arrived at your wallet, you will need to setup a View Only wallet. This is where that view-key comes in. To create a view-only wallet see the entry: [View Only Wallets]({{site.baseurl}}/resources/user-guides/view_only.html)
To verify the funds are *still in* your wallet and have not been spent you need to create a Cold Wallet with your mnemonic key (all your funds) on an airgapped computer with an up-to-date copy of the Monero Blockchain. When finished you will have to securely erase the wallet or connect it to the internet and it becomes a Hot Wallet.