Yes, you can get a loan right out of school. They may require that you have a pay check with 30 days worth of pay showing. Sometimes a signed contract from the employer will suffice if the terms of employment are spelled out. And yes, school does count as work history. You may have to supply a copy of your transcript or diploma as proof you were in school. FHA requires only 3.5% down. It can be from a gift. Ask Grandma Grandpa. I bet they are proud of you. Closing costs can be paid by the seller. Good luck.

In the old days you needed 6 weeks on the job to get the loan. That can be waived today if your contract for employment is believable to the mortgage company. They don’t want to lose a good loan just because of 6 weeks. Apply for the loan..

I would go talk to a lender. You didn’t mention if you have a credit score or any debt. Do you have some money saved for a down payment?