You can get all the CMS Static Blocks collection in Magento 2 by using interface, MagentoCmsApiBlockRepositoryInterface.

MagentoCmsApiBlockRepositoryInterface is used for getting CMS Static Blocks related data in Magento 2.

You need to instantiate MagentoCmsApiBlockRepositoryInterface in __construct() method of Class

<?php
namespace VendorNameModuleNameBlock;

class Filename extends MagentoFrameworkViewElementTemplate
{
    public function __construct(
        MagentoFrameworkViewElementTemplateContext $context,
        MagentoCmsApiBlockRepositoryInterface $blockRepository,
        MagentoFrameworkApiSearchCriteriaBuilder $searchCriteriaBuilder,
        array $data = []
    ) {
        $this->blockRepository = $blockRepository;
        $this->searchCriteriaBuilder = $searchCriteriaBuilder;
        parent::__construct($context, $data);
    }

  	/* Get Cms Blocks Collection from store. */
    public function getCmsBlock() {
        $searchCriteria = $this->searchCriteriaBuilder->create();
        $cmsBlocks = $this->blockRepository->getList($searchCriteria)->getItems();
        return $cmsBlocks;
    }

From Template file, you can access all the Static Blocks by iterating over a loop on a collection.

<?php
	$cmsBlocks = $block->getCmsBlock();
	foreach($cmsBlocks as $cmsBlock) {
	    echo $cmsBlock->getId(); // get Id
	    echo $cmsBlock->getTitle(); // get Title of CMS Static Block
	}
?>

After using the above code snippet you can get all the Cms Static Blocks from a store.