I am afraid that, respective Sharepoint runtime infrastructure may not be available on Azure role instances. So you may consider Sharepoint Online which is part of Microsoft's BPOS offering(http://www.microsoft.com/business/bpostestdrive/default.aspx).
Or you can leverage web part controls available with ASP.NET 2.0 onwards in the ASP.NET web role.
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As Rajesh stated, there's no way to host SharePoint in Azure today. You can definitely integrate SharePoint with Azure by way of services hosted in Azure, so there's ample opportunity to take advantage of Azure's service scalability and elasticity.