Supply Chain Analyst is an incredibly vast term that, in my experience, essentially applies to any entry level supply chain job. This means that the actually job description could vary widely. You could be in purchasing, procurement, material planning, sustainability etc. Its truly company dependent. 

I got my degree in supply chain and information systems, had a few internships during my undergrad and was able to get a job through the career fair at my university at big tech company. I started as an "analyst" or a global supply manager which essentially means I work with a supplier to ensure we have enough supply to meet our manufacturing plan. Left that role after about two years and am now a demand planning manager.

 In terms of certifications, if you are coming right out of college you don't really need any certifications. One thing that I would recommend is becoming proficient in Excel. Almost every analyst role (and most supply chain roles in general) require some level of excel knowledge (pivot tables, vlookups, index(match), ifs, sumifs, average, concatenate, formating, goalseek, and a general knowledge of how to structure and clean data).  

If you are set on getting certs I recommend waiting a few years and then going through your company because many companies will cover the test fee.